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56103840 = 253651337
BaseRepresentation
bin1101011000000…
…1001110100000
310220120101000000
43112001032200
5103330310330
65322300000
71250606022
oct326011640
9126511000
1056103840
112973a711
1216957600
13b814750
147646012
154dd3560
hex35813a0

56103840 has 336 divisors, whose sum is σ = 219797928. Its totient is φ = 13436928.

The previous prime is 56103823. The next prime is 56103847. The reversal of 56103840 is 4830165.

56103840 is a `hidden beast` number, since 5 + 610 + 3 + 8 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46294416 + 9809424 = 6804^2 + 3132^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56103847) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1516302 + ... + 1516338.

Almost surely, 256103840 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 56103840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109898964).

56103840 is an abundant number, since it is smaller than the sum of its proper divisors (163694088).

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

56103840 is a wasteful number, since it uses less digits than its factorization.

56103840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 56103840 is about 7490.2496620607. The cubic root of 56103840 is about 382.8225652719.

The spelling of 56103840 in words is "fifty-six million, one hundred three thousand, eight hundred forty".