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56137728 = 21139137
BaseRepresentation
bin1101011000100…
…1100000000000
310220122002111010
43112021200000
5103332401403
65323120520
71251106563
oct326114000
9126562433
1056137728
1129763119
1216973140
13b826cba
1476544da
154ddd603
hex3589800

56137728 has 48 divisors (see below), whose sum is σ = 149680440. Its totient is φ = 18710528.

The previous prime is 56137727. The next prime is 56137771. The reversal of 56137728 is 82773165.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56137727) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1576 + ... + 10712.

Almost surely, 256137728 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 56137728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74840220).

56137728 is an abundant number, since it is smaller than the sum of its proper divisors (93542712).

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

56137728 is an equidigital number, since it uses as much as digits as its factorization.

56137728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9162 (or 9142 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 56137728 is about 7492.5114614527. The cubic root of 56137728 is about 382.8996276142.

It can be divided in two parts, 56137 and 728, that added together give a palindrome (56865).

The spelling of 56137728 in words is "fifty-six million, one hundred thirty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 9137 18274 27411 36548 54822 73096 109644 146192 219288 292384 438576 584768 877152 1169536 1754304 2339072 3508608 4678144 7017216 9356288 14034432 18712576 28068864 56137728