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56843136 = 2732721953
BaseRepresentation
bin1101100011010…
…1101110000000
310221221221010100
43120311232000
5104022440021
65350202400
71260105300
oct330655600
9127857110
1056843136
112a0a50a9
1217053400
13ba130bc
147799600
154ecc626
hex3635b80

56843136 has 288 divisors, whose sum is σ = 204071400. Its totient is φ = 15095808.

The previous prime is 56843123. The next prime is 56843147. The reversal of 56843136 is 63134865.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×568431362 = 6462284220628992, which contains 22 as substring.

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 56843136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1072486 + ... + 1072538.

Almost surely, 256843136 is an apocalyptic number.

56843136 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 56843136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102035700).

56843136 is an abundant number, since it is smaller than the sum of its proper divisors (147228264).

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

56843136 is a wasteful number, since it uses less digits than its factorization.

56843136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 84 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 56843136 is about 7539.4387058985. The cubic root of 56843136 is about 384.4967529430.

Subtracting from 56843136 its product of digits (51840), we obtain a square (56791296 = 75362).

The spelling of 56843136 in words is "fifty-six million, eight hundred forty-three thousand, one hundred thirty-six".