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55870464 = 2103131399
BaseRepresentation
bin1101010100100…
…0010000000000
310220010111212110
43111020100000
5103300323324
65313255320
71245614436
oct325102000
9126114773
1055870464
11295a0341
1216864540
13b762460
1475c4d56
154d89329
hex3548400

55870464 has 88 divisors (see below), whose sum is σ = 160484800. Its totient is φ = 17178624.

The previous prime is 55870439. The next prime is 55870471. The reversal of 55870464 is 46407855.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39237 + ... + 40635.

Almost surely, 255870464 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 55870464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80242400).

55870464 is an abundant number, since it is smaller than the sum of its proper divisors (104614336).

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

55870464 is a wasteful number, since it uses less digits than its factorization.

55870464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 55870464 is about 7474.6547746368. The cubic root of 55870464 is about 382.2910166019.

The spelling of 55870464 in words is "fifty-five million, eight hundred seventy thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1399 1536 1664 2496 2798 3072 3328 4197 4992 5596 6656 8394 9984 11192 13312 16788 18187 19968 22384 33576 36374 39936 44768 54561 67152 72748 89536 109122 134304 145496 179072 218244 268608 290992 358144 436488 537216 581984 716288 872976 1074432 1163968 1432576 1745952 2148864 2327936 3491904 4297728 4655872 6983808 9311744 13967616 18623488 27935232 55870464