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86020416 = 2632149341
BaseRepresentation
bin1010010000010…
…01000101000000
312222212021211100
411020021011000
5134010123131
612311414400
72063106246
oct510110500
9188767740
1086020416
1144613459
1224984400
1314a8a771
14b5d2796
1578427e6
hex5209140

86020416 has 42 divisors (see below), whose sum is σ = 246563642. Its totient is φ = 28673280.

The previous prime is 86020399. The next prime is 86020421. The reversal of 86020416 is 61402068.

It can be written as a sum of positive squares in only one way, i.e., 72182016 + 13838400 = 8496^2 + 3720^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 86020416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 74095 + ... + 75246.

Almost surely, 286020416 is an apocalyptic number.

It is an amenable number.

86020416 is an abundant number, since it is smaller than the sum of its proper divisors (160543226).

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

86020416 is a wasteful number, since it uses less digits than its factorization.

86020416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149359 (or 149346 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 86020416 is about 9274.7191871237. The cubic root of 86020416 is about 441.4354222889.

It can be divided in two parts, 86020 and 416, that added together give a square (86436 = 2942).

The spelling of 86020416 in words is "eighty-six million, twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 149341 298682 448023 597364 896046 1194728 1344069 1792092 2389456 2688138 3584184 4778912 5376276 7168368 9557824 10752552 14336736 21505104 28673472 43010208 86020416