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56555430 = 23517173641
BaseRepresentation
bin1101011110111…
…1011110100110
310221102022110120
43113233132212
5103434233210
65340102410
71254466431
oct327573646
9127368416
1056555430
1129a18a28
1216b34a06
13b942169
147722818
154e72270
hex35ef7a6

56555430 has 64 divisors (see below), whose sum is σ = 144773568. Its totient is φ = 14090240.

The previous prime is 56555417. The next prime is 56555431. The reversal of 56555430 is 3455565.

It is a junction number, because it is equal to n+sod(n) for n = 56555391 and 56555400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56555431) 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, 87910 + ... + 88550.

It is an arithmetic number, because the mean of its divisors is an integer number (2262087).

Almost surely, 256555430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56555430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72386784).

56555430 is an abundant number, since it is smaller than the sum of its proper divisors (88218138).

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

56555430 is a wasteful number, since it uses less digits than its factorization.

56555430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841.

The product of its (nonzero) digits is 45000, while the sum is 33.

The square root of 56555430 is about 7520.3344340528. The cubic root of 56555430 is about 383.8469577852.

The spelling of 56555430 in words is "fifty-six million, five hundred fifty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 173 255 346 510 519 641 865 1038 1282 1730 1923 2595 2941 3205 3846 5190 5882 6410 8823 9615 10897 14705 17646 19230 21794 29410 32691 44115 54485 65382 88230 108970 110893 163455 221786 326910 332679 554465 665358 1108930 1663395 1885181 3326790 3770362 5655543 9425905 11311086 18851810 28277715 56555430