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31444868 = 2273134143
BaseRepresentation
bin111011111110…
…0111110000100
32012011120020202
41313330332010
531022213433
63041550032
7531164000
oct167747604
965146222
1031444868
1116827aa4
12a645318
13668c840
144267700
152b61ee8
hex1dfcf84

31444868 has 96 divisors (see below), whose sum is σ = 72441600. Its totient is φ = 11854080.

The previous prime is 31444843. The next prime is 31444871. The reversal of 31444868 is 86844413.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 731255 + ... + 731297.

It is an arithmetic number, because the mean of its divisors is an integer number (754600).

Almost surely, 231444868 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 31444868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36220800).

31444868 is an abundant number, since it is smaller than the sum of its proper divisors (40996732).

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

31444868 is a wasteful number, since it uses less digits than its factorization.

31444868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

The product of its digits is 73728, while the sum is 38.

The square root of 31444868 is about 5607.5723802729. The cubic root of 31444868 is about 315.6336217362.

The spelling of 31444868 in words is "thirty-one million, four hundred forty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 41 43 49 52 82 86 91 98 164 172 182 196 287 301 343 364 533 559 574 602 637 686 1066 1118 1148 1204 1274 1372 1763 2009 2107 2132 2236 2548 3526 3731 3913 4018 4214 4459 7052 7462 7826 8036 8428 8918 12341 14063 14749 14924 15652 17836 22919 24682 26117 27391 28126 29498 45838 49364 52234 54782 56252 58996 86387 91676 104468 109564 160433 172774 182819 191737 320866 345548 365638 383474 604709 641732 731276 766948 1123031 1209418 2246062 2418836 4492124 7861217 15722434 31444868