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31296048 = 2437175479
BaseRepresentation
bin111011101100…
…0101000110000
32011220000002220
41313120220300
531002433143
63034441040
7530004060
oct167305060
964800086
1031296048
1116736203
12a593180
136639b94
1442293a0
152b32d83
hex1dd8a30

31296048 has 80 divisors (see below), whose sum is σ = 97850880. Its totient is φ = 8414208.

The previous prime is 31296047. The next prime is 31296053. The reversal of 31296048 is 84069213.

It is not an unprimeable number, because it can be changed into a prime (31296047) 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, 2973 + ... + 8451.

It is an arithmetic number, because the mean of its divisors is an integer number (1223136).

Almost surely, 231296048 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 31296048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48925440).

31296048 is an abundant number, since it is smaller than the sum of its proper divisors (66554832).

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

31296048 is a wasteful number, since it uses less digits than its factorization.

31296048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5514 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 31296048 is about 5594.2870859476. The cubic root of 31296048 is about 315.1348981302.

The spelling of 31296048 in words is "thirty-one million, two hundred ninety-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2856 5479 5712 10958 16437 21916 32874 38353 43832 65748 76706 87664 93143 115059 131496 153412 186286 230118 262992 279429 306824 372572 460236 558858 613648 652001 745144 920472 1117716 1304002 1490288 1840944 1956003 2235432 2608004 3912006 4470864 5216008 7824012 10432016 15648024 31296048