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2057351436 = 2232721936043
BaseRepresentation
bin111101010100000…
…1011000100001100
312022101021021121100
41322220023010030
513203140221221
6540052103100
7101661125100
oct17250130414
95271237540
102057351436
11966359648
12495004a90
1326a30791a
14157347900
15c0940926
hex7aa0b10c

2057351436 has 108 divisors (see below), whose sum is σ = 6081944232. Its totient is φ = 584672256.

The previous prime is 2057351431. The next prime is 2057351459. The reversal of 2057351436 is 6341537502.

2057351436 is a `hidden beast` number, since 2 + 0 + 573 + 51 + 4 + 36 = 666.

It is a super-2 number, since 2×20573514362 = 8465389862422524192, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2057351436.

It is not an unprimeable number, because it can be changed into a prime (2057351431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 337431 + ... + 343473.

Almost surely, 22057351436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2057351436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040972116).

2057351436 is an abundant number, since it is smaller than the sum of its proper divisors (4024592796).

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

2057351436 is a wasteful number, since it uses less digits than its factorization.

2057351436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6260 (or 6248 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 2057351436 is about 45358.0360685954. The cubic root of 2057351436 is about 1271.8507820094.

Adding to 2057351436 its reverse (6341537502), we get a palindrome (8398888938).

The spelling of 2057351436 in words is "two billion, fifty-seven million, three hundred fifty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 193 196 252 294 386 441 579 588 772 882 1158 1351 1737 1764 2316 2702 3474 4053 5404 6043 6948 8106 9457 12086 12159 16212 18129 18914 24172 24318 28371 36258 37828 42301 48636 54387 56742 72516 84602 85113 108774 113484 126903 169204 170226 217548 253806 296107 340452 380709 507612 592214 761418 888321 1166299 1184428 1522836 1776642 2332598 2664963 3498897 3553284 4665196 5329926 6997794 8164093 10496691 10659852 13995588 16328186 20993382 24492279 32656372 41986764 48984558 57148651 73476837 97969116 114297302 146953674 171445953 228594604 293907348 342891906 514337859 685783812 1028675718 2057351436