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56081844 = 2232713171953
BaseRepresentation
bin1101010111101…
…1110110110100
310220112020211100
43111323312310
5103324104334
65322010100
71250454630
oct325736664
9126466740
1056081844
1129725135
1216946930
13b807730
14763bdc0
154dcbc99
hex357bdb4

56081844 has 288 divisors, whose sum is σ = 198132480. Its totient is φ = 12939264.

The previous prime is 56081833. The next prime is 56081873. The reversal of 56081844 is 44818065.

56081844 is a `hidden beast` number, since 5 + 608 + 1 + 8 + 44 = 666.

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 = 56081799 and 56081808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1058122 + ... + 1058174.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 256081844 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 56081844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

56081844 is an abundant number, since it is smaller than the sum of its proper divisors (142050636).

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

56081844 is a wasteful number, since it uses less digits than its factorization.

56081844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 56081844 is about 7488.7812092489. The cubic root of 56081844 is about 382.7725290900.

The spelling of 56081844 in words is "fifty-six million, eighty-one thousand, eight hundred forty-four".