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56247840 = 25325115367
BaseRepresentation
bin1101011010010…
…0011000100000
310220211200112100
43112210120200
5103344412330
65325330400
71252045605
oct326443040
9126750470
1056247840
1129828920
1216a06a00
13b86515c
1476826ac
154e11060
hex35a4620

56247840 has 288 divisors, whose sum is σ = 216530496. Its totient is φ = 13178880.

The previous prime is 56247839. The next prime is 56247853. The reversal of 56247840 is 4874265.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56247795 and 56247804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 839487 + ... + 839553.

It is an arithmetic number, because the mean of its divisors is an integer number (751842).

Almost surely, 256247840 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 56247840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108265248).

56247840 is an abundant number, since it is smaller than the sum of its proper divisors (160282656).

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

56247840 is a wasteful number, since it uses less digits than its factorization.

56247840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 56247840 is about 7499.8559986176. The cubic root of 56247840 is about 383.1498117536.

The spelling of 56247840 in words is "fifty-six million, two hundred forty-seven thousand, eight hundred forty".