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55825056 = 2532727691
BaseRepresentation
bin1101010011110…
…1001010100000
310220001012120200
43110331022200
5103242400211
65312305200
71245335160
oct324751240
9126035520
1055825056
112956a211
1216842200
13b7478a1
1475b25a0
154d7ab56
hex353d2a0

55825056 has 72 divisors (see below), whose sum is σ = 181437984. Its totient is φ = 15949440.

The previous prime is 55825043. The next prime is 55825069. The reversal of 55825056 is 65052855.

55825056 is a `hidden beast` number, since 558 + 2 + 50 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (55825043) and next prime (55825069).

It is a tau number, because it is divible by the number of its divisors (72).

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 55825056.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11830 + ... + 15861.

It is an arithmetic number, because the mean of its divisors is an integer number (2519972).

Almost surely, 255825056 is an apocalyptic number.

55825056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

55825056 is an abundant number, since it is smaller than the sum of its proper divisors (125612928).

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

55825056 is a wasteful number, since it uses less digits than its factorization.

55825056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27714 (or 27703 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 55825056 is about 7471.6166925238. The cubic root of 55825056 is about 382.1874211650.

The spelling of 55825056 in words is "fifty-five million, eight hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 27691 55382 83073 110764 166146 193837 221528 249219 332292 387674 443056 498438 581511 664584 775348 886112 996876 1163022 1329168 1550696 1744533 1993752 2326044 2658336 3101392 3489066 3987504 4652088 6202784 6978132 7975008 9304176 13956264 18608352 27912528 55825056