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56138496 = 283671091
BaseRepresentation
bin1101011000100…
…1101100000000
310220122010112120
43112021230000
5103332412441
65323124240
71251112041
oct326115400
9126563476
1056138496
1129763757
1216973680
13b82745b
1476548c8
154ddd966
hex3589b00

56138496 has 72 divisors (see below), whose sum is σ = 151779264. Its totient is φ = 18416640.

The previous prime is 56138479. The next prime is 56138503. The reversal of 56138496 is 69483165.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50911 + ... + 52001.

Almost surely, 256138496 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 56138496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75889632).

56138496 is an abundant number, since it is smaller than the sum of its proper divisors (95640768).

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

56138496 is a wasteful number, since it uses less digits than its factorization.

56138496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1163 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 56138496 is about 7492.5627124503. The cubic root of 56138496 is about 382.9013737101.

The spelling of 56138496 in words is "fifty-six million, one hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 384 402 536 768 804 1072 1091 1608 2144 2182 3216 3273 4288 4364 6432 6546 8576 8728 12864 13092 17152 17456 25728 26184 34912 51456 52368 69824 73097 104736 139648 146194 209472 219291 279296 292388 418944 438582 584776 837888 877164 1169552 1754328 2339104 3508656 4678208 7017312 9356416 14034624 18712832 28069248 56138496