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2062431396 = 2236294
BaseRepresentation
bin111101011101110…
…0011010010100100
312022201211101000000
41322323203102210
513210440301041
6540353021300
7102052243344
oct17273432244
95281741000
102062431396
11969209263
12496854830
1326b395c0c
14157caad24
15c10e5bb6
hex7aee34a4

2062431396 has 105 divisors (see below), whose sum is σ = 5604671191. Its totient is φ = 663771024.

The previous prime is 2062431383. The next prime is 2062431409. The reversal of 2062431396 is 6931342602.

The square root of 2062431396 is 45414.

It is a perfect power (a square), and thus also a powerful number.

2062431396 is a `hidden beast` number, since 20 + 6 + 243 + 1 + 396 = 666.

It is an interprime number because it is at equal distance from previous prime (2062431383) and next prime (2062431409).

It can be written as a sum of positive squares in 2 ways, for example, as 4901796 + 2057529600 = 2214^2 + 45360^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2062431396.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 71118310 + ... + 71118338.

Almost surely, 22062431396 is an apocalyptic number.

2062431396 is the 45414-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2062431396

2062431396 is an abundant number, since it is smaller than the sum of its proper divisors (3542239795).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2062431396 is an frugal number, since it uses more digits than its factorization.

2062431396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The cubic root of 2062431396 is about 1272.8967288401.

Multiplying 2062431396 by its sum of digits (36), we get a 4-th power (74247530256 = 5224).

2062431396 divided by its sum of digits (36) gives a 4-th power (57289761 = 874).

Multiplying 2062431396 by its product of nonzero digits (46656), we get a 4-th power (96224799211776 = 31324).

Adding to 2062431396 its reverse (6931342602), we get a palindrome (8993773998).

The spelling of 2062431396 in words is "two billion, sixty-two million, four hundred thirty-one thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 243 261 324 348 486 522 729 783 841 972 1044 1458 1566 1682 2349 2523 2916 3132 3364 4698 5046 7047 7569 9396 10092 14094 15138 21141 22707 24389 28188 30276 42282 45414 48778 68121 73167 84564 90828 97556 136242 146334 204363 219501 272484 292668 408726 439002 613089 658503 707281 817452 878004 1226178 1317006 1414562 1975509 2121843 2452356 2634012 2829124 3951018 4243686 5926527 6365529 7902036 8487372 11853054 12731058 17779581 19096587 23706108 25462116 35559162 38193174 57289761 71118324 76386348 114579522 171869283 229159044 343738566 515607849 687477132 1031215698 2062431396