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56122352 = 241113191291
BaseRepresentation
bin1101011000010…
…1101111110000
310220121022101122
43112011233300
5103331403402
65322521412
71251014006
oct326055760
9126538348
1056122352
1129752610
1216966268
13b81ccc0
14764ca76
154dd8ca2
hex3585bf0

56122352 has 80 divisors (see below), whose sum is σ = 134574720. Its totient is φ = 22291200.

The previous prime is 56122351. The next prime is 56122361. The reversal of 56122352 is 25322165.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56122351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42827 + ... + 44117.

It is an arithmetic number, because the mean of its divisors is an integer number (1682184).

Almost surely, 256122352 is an apocalyptic number.

56122352 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56122352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67287360).

56122352 is an abundant number, since it is smaller than the sum of its proper divisors (78452368).

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

56122352 is a wasteful number, since it uses less digits than its factorization.

56122352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1336 counting only the distinct ones).

The product of its digits is 3600, while the sum is 26.

The square root of 56122352 is about 7491.4852999923. The cubic root of 56122352 is about 382.8646659672.

The spelling of 56122352 in words is "fifty-six million, one hundred twenty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 19 22 26 38 44 52 76 88 104 143 152 176 208 209 247 286 304 418 494 572 836 988 1144 1291 1672 1976 2288 2582 2717 3344 3952 5164 5434 10328 10868 14201 16783 20656 21736 24529 28402 33566 43472 49058 56804 67132 98116 113608 134264 184613 196232 227216 268528 269819 318877 369226 392464 539638 637754 738452 1079276 1275508 1476904 2158552 2551016 2953808 3507647 4317104 5102032 7015294 14030588 28061176 56122352