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56950344 = 23331122179
BaseRepresentation
bin1101100100111…
…1111001001000
310222011101012000
43121033321020
5104034402334
65352351000
71261032663
oct331177110
9128141160
1056950344
112a168700
12170a5460
13ba4cb39
1477c66da
154eee299
hex364fe48

56950344 has 96 divisors (see below), whose sum is σ = 173964000. Its totient is φ = 17249760.

The previous prime is 56950343. The next prime is 56950351. The reversal of 56950344 is 44305965.

It is a happy number.

56950344 is a `hidden beast` number, since 569 + 50 + 3 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56950299 and 56950308.

It is not an unprimeable number, because it can be changed into a prime (56950343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25047 + ... + 27225.

It is an arithmetic number, because the mean of its divisors is an integer number (1812125).

Almost surely, 256950344 is an apocalyptic number.

56950344 is a gapful number since it is divisible by the number (54) 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 56950344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86982000).

56950344 is an abundant number, since it is smaller than the sum of its proper divisors (117013656).

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

56950344 is a wasteful number, since it uses less digits than its factorization.

56950344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 56950344 is about 7546.5451698112. The cubic root of 56950344 is about 384.7383255884.

The spelling of 56950344 in words is "fifty-six million, nine hundred fifty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 121 132 198 216 242 264 297 363 396 484 594 726 792 968 1089 1188 1452 2178 2179 2376 2904 3267 4356 4358 6534 6537 8712 8716 13068 13074 17432 19611 23969 26136 26148 39222 47938 52296 58833 71907 78444 95876 117666 143814 156888 191752 215721 235332 263659 287628 431442 470664 527318 575256 647163 790977 862884 1054636 1294326 1581954 1725768 2109272 2372931 2588652 3163908 4745862 5177304 6327816 7118793 9491724 14237586 18983448 28475172 56950344