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56458240 = 210511027
BaseRepresentation
bin1101011101011…
…1110000000000
310221020101010221
43113113300000
5103423130430
65334032424
71253613166
oct327276000
9127211127
1056458240
1129961a03
1216aa8714
13b909b57
1476d9236
154e5357a
hex35d7c00

56458240 has 44 divisors (see below), whose sum is σ = 135445896. Its totient is φ = 22581248.

The previous prime is 56458187. The next prime is 56458267. The reversal of 56458240 is 4285465.

It is a junction number, because it is equal to n+sod(n) for n = 56458196 and 56458205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 394 + ... + 10633.

Almost surely, 256458240 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 56458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67722948).

56458240 is an abundant number, since it is smaller than the sum of its proper divisors (78987656).

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

56458240 is a wasteful number, since it uses less digits than its factorization.

56458240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11052 (or 11034 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 56458240 is about 7513.8698418325. The cubic root of 56458240 is about 383.6269525248.

The spelling of 56458240 in words is "fifty-six million, four hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 11027 22054 44108 55135 88216 110270 176432 220540 352864 441080 705728 882160 1411456 1764320 2822912 3528640 5645824 7057280 11291648 14114560 28229120 56458240