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56033460 = 22325726353
BaseRepresentation
bin1101010111000…
…0000010110100
310220102210110100
43111300002310
5103321032320
65320554100
71250163600
oct325600264
9126383410
1056033460
11296a184a
1216922930
13b7bb6c2
147628500
154dbc790
hex35700b4

56033460 has 108 divisors (see below), whose sum is σ = 197749188. Its totient is φ = 12805632.

The previous prime is 56033459. The next prime is 56033477. The reversal of 56033460 is 6433065.

It can be written as a sum of positive squares in 2 ways, for example, as 22924944 + 33108516 = 4788^2 + 5754^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5644 + ... + 11996.

It is an arithmetic number, because the mean of its divisors is an integer number (1831011).

Almost surely, 256033460 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 56033460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98874594).

56033460 is an abundant number, since it is smaller than the sum of its proper divisors (141715728).

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

56033460 is a wasteful number, since it uses less digits than its factorization.

56033460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6382 (or 6370 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 56033460 is about 7485.5500799874. The cubic root of 56033460 is about 382.6624198088.

The spelling of 56033460 in words is "fifty-six million, thirty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 6353 8820 12706 19059 25412 31765 38118 44471 57177 63530 76236 88942 95295 114354 127060 133413 177884 190590 222355 228708 266826 285885 311297 381180 400239 444710 533652 571770 622594 667065 800478 889420 933891 1143540 1245188 1334130 1556485 1600956 1867782 2001195 2668260 2801673 3112970 3735564 4002390 4669455 5603346 6225940 8004780 9338910 11206692 14008365 18677820 28016730 56033460