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55598256 = 24327192903
BaseRepresentation
bin1101010000010…
…1110010110000
310212121200110200
43110011302300
5103213121011
65303355200
71243402020
oct324056260
9125550420
1055598256
112942487a
1216752b00
13b69859c
147553a80
154d33856
hex3505cb0

55598256 has 120 divisors (see below), whose sum is σ = 187249920. Its totient is φ = 15043968.

The previous prime is 55598243. The next prime is 55598273. The reversal of 55598256 is 65289555.

55598256 is a `hidden beast` number, since 5 + 5 + 598 + 2 + 56 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17701 + ... + 20603.

It is an arithmetic number, because the mean of its divisors is an integer number (1560416).

Almost surely, 255598256 is an apocalyptic number.

55598256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55598256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93624960).

55598256 is an abundant number, since it is smaller than the sum of its proper divisors (131651664).

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

55598256 is a wasteful number, since it uses less digits than its factorization.

55598256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2934 counting only the distinct ones).

The product of its digits is 540000, while the sum is 45.

The square root of 55598256 is about 7456.4238076976. The cubic root of 55598256 is about 381.6691487627.

The spelling of 55598256 in words is "fifty-five million, five hundred ninety-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2128 2394 2736 2903 3192 4788 5806 6384 8709 9576 11612 17418 19152 20321 23224 26127 34836 40642 46448 52254 55157 60963 69672 81284 104508 110314 121926 139344 162568 165471 182889 209016 220628 243852 325136 330942 365778 386099 418032 441256 487704 496413 661884 731556 772198 882512 975408 992826 1158297 1323768 1463112 1544396 1985652 2316594 2647536 2926224 3088792 3474891 3971304 4633188 6177584 6949782 7942608 9266376 13899564 18532752 27799128 55598256