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56438070 = 23513473079
BaseRepresentation
bin1101011101001…
…0110100110110
310221012100110220
43113102310312
5103422004240
65333355210
71253500323
oct327226466
9127170426
1056438070
1129948837
1216a98b06
13b900910
1476d1b4a
154e4c5d0
hex35d2d36

56438070 has 64 divisors (see below), whose sum is σ = 149022720. Its totient is φ = 13592448.

The previous prime is 56438033. The next prime is 56438077. The reversal of 56438070 is 7083465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56438077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16791 + ... + 19869.

It is an arithmetic number, because the mean of its divisors is an integer number (2328480).

Almost surely, 256438070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56438070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74511360).

56438070 is an abundant number, since it is smaller than the sum of its proper divisors (92584650).

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

56438070 is a wasteful number, since it uses less digits than its factorization.

56438070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3149.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 56438070 is about 7512.5275373871. The cubic root of 56438070 is about 383.5812628418.

The spelling of 56438070 in words is "fifty-six million, four hundred thirty-eight thousand, seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 47 65 78 94 130 141 195 235 282 390 470 611 705 1222 1410 1833 3055 3079 3666 6110 6158 9165 9237 15395 18330 18474 30790 40027 46185 80054 92370 120081 144713 200135 240162 289426 400270 434139 600405 723565 868278 1200810 1447130 1881269 2170695 3762538 4341390 5643807 9406345 11287614 18812690 28219035 56438070