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55616904 = 23327163677
BaseRepresentation
bin1101010000101…
…0010110001000
310212122122001100
43110022112020
5103214220104
65304021400
71243510260
oct324122610
9125578040
1055616904
1129437892
1216761860
13b6a3c15
14755a7a0
154d39139
hex350a588

55616904 has 96 divisors (see below), whose sum is σ = 173459520. Its totient is φ = 15769728.

The previous prime is 55616893. The next prime is 55616909. The reversal of 55616904 is 40961655.

55616904 is a `hidden beast` number, since 5 + 561 + 6 + 90 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (55616909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81814 + ... + 82490.

It is an arithmetic number, because the mean of its divisors is an integer number (1806870).

Almost surely, 255616904 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 55616904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86729760).

55616904 is an abundant number, since it is smaller than the sum of its proper divisors (117842616).

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

55616904 is a wasteful number, since it uses less digits than its factorization.

With its successor (55616905) it forms an eRAP, since the sums of their prime factors are consecutive (859 and 860).

55616904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 55616904 is about 7457.6741682645. The cubic root of 55616904 is about 381.7118153930.

The spelling of 55616904 in words is "fifty-five million, six hundred sixteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 163 168 252 326 489 504 652 677 978 1141 1304 1354 1467 1956 2031 2282 2708 2934 3423 3912 4062 4564 4739 5416 5868 6093 6846 8124 9128 9478 10269 11736 12186 13692 14217 16248 18956 20538 24372 27384 28434 37912 41076 42651 48744 56868 82152 85302 110351 113736 170604 220702 331053 341208 441404 662106 772457 882808 993159 1324212 1544914 1986318 2317371 2648424 3089828 3972636 4634742 6179656 6952113 7945272 9269484 13904226 18538968 27808452 55616904