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56444208 = 24323294143
BaseRepresentation
bin1101011101010…
…0010100110000
310221012122220020
43113110110300
5103422203313
65333443440
71253524242
oct327242460
9127178806
1056444208
1129952407
1216aa0580
13b903652
1476d4092
154e4e323
hex35d4530

56444208 has 160 divisors (see below), whose sum is σ = 164989440. Its totient is φ = 16558080.

The previous prime is 56444207. The next prime is 56444263. The reversal of 56444208 is 80244465.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56444207) 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, 1312635 + ... + 1312677.

It is an arithmetic number, because the mean of its divisors is an integer number (1031184).

Almost surely, 256444208 is an apocalyptic number.

56444208 is a gapful number since it is divisible by the number (58) 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 56444208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82494720).

56444208 is an abundant number, since it is smaller than the sum of its proper divisors (108545232).

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

56444208 is a wasteful number, since it uses less digits than its factorization.

56444208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 56444208 is about 7512.9360439179. The cubic root of 56444208 is about 383.5951679738.

The spelling of 56444208 in words is "fifty-six million, four hundred forty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 41 43 46 48 58 69 82 86 87 92 116 123 129 138 164 172 174 184 232 246 258 276 328 344 348 368 464 492 516 552 656 667 688 696 943 984 989 1032 1104 1189 1247 1334 1392 1763 1886 1968 1978 2001 2064 2378 2494 2668 2829 2967 3526 3567 3741 3772 3956 4002 4756 4988 5289 5336 5658 5934 7052 7134 7482 7544 7912 8004 9512 9976 10578 10672 11316 11868 14104 14268 14964 15088 15824 16008 19024 19952 21156 22632 23736 27347 28208 28536 28681 29928 32016 40549 42312 45264 47472 51127 54694 57072 57362 59856 81098 82041 84624 86043 102254 109388 114724 121647 153381 162196 164082 172086 204508 218776 229448 243294 306762 324392 328164 344172 409016 437552 458896 486588 613524 648784 656328 688344 818032 973176 1175921 1227048 1312656 1376688 1946352 2351842 2454096 3527763 4703684 7055526 9407368 14111052 18814736 28222104 56444208