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56484540 = 22345717293
BaseRepresentation
bin1101011101111…
…0001010111100
310221021201020000
43113132022330
5103430001130
65334354300
71254052650
oct327361274
9127251200
1056484540
112997a742
1216abb990
13b918b08
147704a60
154e5b260
hex35de2bc

56484540 has 240 divisors, whose sum is σ = 215151552. Its totient is φ = 12109824.

The previous prime is 56484529. The next prime is 56484541. The reversal of 56484540 is 4548465.

56484540 is a `hidden beast` number, since 5 + 648 + 4 + 5 + 4 + 0 = 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 = 56484495 and 56484504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56484541) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 192634 + ... + 192926.

Almost surely, 256484540 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 56484540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107575776).

56484540 is an abundant number, since it is smaller than the sum of its proper divisors (158667012).

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

56484540 is a wasteful number, since it uses less digits than its factorization.

56484540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 56484540 is about 7515.6197349254. The cubic root of 56484540 is about 383.6865117236.

The spelling of 56484540 in words is "fifty-six million, four hundred eighty-four thousand, five hundred forty".