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56345472 = 273259829
BaseRepresentation
bin1101011011110…
…0001110000000
310221000122110100
43112330032000
5103411023342
65331402400
71252633341
oct326741600
9127018410
1056345472
1129895207
1216a53400
13b89a721
1476aa0c8
154e2ee4c
hex35bc380

56345472 has 96 divisors (see below), whose sum is σ = 165087000. Its totient is φ = 18441216.

The previous prime is 56345467. The next prime is 56345473. The reversal of 56345472 is 27454365.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56345473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67554 + ... + 68382.

Almost surely, 256345472 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 56345472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82543500).

56345472 is an abundant number, since it is smaller than the sum of its proper divisors (108741528).

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

56345472 is a wasteful number, since it uses less digits than its factorization.

56345472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 893 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 56345472 is about 7506.3621015776. The cubic root of 56345472 is about 383.3713672827.

The spelling of 56345472 in words is "fifty-six million, three hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 177 192 236 288 354 384 472 531 576 708 829 944 1062 1152 1416 1658 1888 2124 2487 2832 3316 3776 4248 4974 5664 6632 7461 7552 8496 9948 11328 13264 14922 16992 19896 22656 26528 29844 33984 39792 48911 53056 59688 67968 79584 97822 106112 119376 146733 159168 195644 238752 293466 318336 391288 440199 477504 586932 782576 880398 955008 1173864 1565152 1760796 2347728 3130304 3521592 4695456 6260608 7043184 9390912 14086368 18781824 28172736 56345472