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56121344 = 21167409
BaseRepresentation
bin1101011000010…
…1100000000000
310220121021000022
43112011200000
5103331340334
65322513012
71251011036
oct326054000
9126537008
1056121344
1129751884
1216965768
13b81c6c6
14764c556
154dd882e
hex3585800

56121344 has 48 divisors (see below), whose sum is σ = 114168600. Its totient is φ = 27574272.

The previous prime is 56121343. The next prime is 56121349. The reversal of 56121344 is 44312165.

It can be divided in two parts, 56121 and 344, that added together give a palindrome (56465).

It is a super-4 number, since 4×561213444 (a number of 32 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56121343) 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, 137012 + ... + 137420.

Almost surely, 256121344 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 56121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57084300).

56121344 is an abundant number, since it is smaller than the sum of its proper divisors (58047256).

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

56121344 is an equidigital number, since it uses as much as digits as its factorization.

56121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 478 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 56121344 is about 7491.4180233117. The cubic root of 56121344 is about 382.8623737736.

The spelling of 56121344 in words is "fifty-six million, one hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 409 512 536 818 1024 1072 1636 2048 2144 3272 4288 6544 8576 13088 17152 26176 27403 34304 52352 54806 68608 104704 109612 137216 209408 219224 418816 438448 837632 876896 1753792 3507584 7015168 14030336 28060672 56121344