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55771296 = 2537149557
BaseRepresentation
bin1101010011000…
…0000010100000
310212221110211120
43110300002200
5103234140141
65311212240
71245022350
oct324600240
9125843746
1055771296
1129532889
1216817080
13b729289
14759ab60
154d69c66
hex35300a0

55771296 has 96 divisors (see below), whose sum is σ = 168739200. Its totient is φ = 15799296.

The previous prime is 55771273. The next prime is 55771337. The reversal of 55771296 is 69217755.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×557712962 = 6220874915039232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99850 + ... + 100406.

It is an arithmetic number, because the mean of its divisors is an integer number (1757700).

Almost surely, 255771296 is an apocalyptic number.

55771296 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 55771296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84369600).

55771296 is an abundant number, since it is smaller than the sum of its proper divisors (112967904).

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

55771296 is a wasteful number, since it uses less digits than its factorization.

55771296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 718 counting only the distinct ones).

The product of its digits is 132300, while the sum is 42.

The square root of 55771296 is about 7468.0182110115. The cubic root of 55771296 is about 382.0646985250.

The spelling of 55771296 in words is "fifty-five million, seven hundred seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 149 168 224 298 336 447 557 596 672 894 1043 1114 1192 1671 1788 2086 2228 2384 3129 3342 3576 3899 4172 4456 4768 6258 6684 7152 7798 8344 8912 11697 12516 13368 14304 15596 16688 17824 23394 25032 26736 31192 33376 46788 50064 53472 62384 82993 93576 100128 124768 165986 187152 248979 331972 374304 497958 580951 663944 995916 1161902 1327888 1742853 1991832 2323804 2655776 3485706 3983664 4647608 6971412 7967328 9295216 13942824 18590432 27885648 55771296