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31387468 = 22719411439
BaseRepresentation
bin111011110111…
…0111101001100
32012001122111211
41313232331030
531013344333
63040424204
7530534440
oct167567514
965048454
1031387468
1116798962
12a618064
13666c688
144250820
152b4eecd
hex1deef4c

31387468 has 48 divisors (see below), whose sum is σ = 67737600. Its totient is φ = 12424320.

The previous prime is 31387453. The next prime is 31387513. The reversal of 31387468 is 86478313.

It is a self number, because there is not a number n which added to its sum of digits gives 31387468.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21093 + ... + 22531.

It is an arithmetic number, because the mean of its divisors is an integer number (1411200).

Almost surely, 231387468 is an apocalyptic number.

31387468 is a gapful number since it is divisible by the number (38) 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 31387468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33868800).

31387468 is an abundant number, since it is smaller than the sum of its proper divisors (36350132).

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

31387468 is a wasteful number, since it uses less digits than its factorization.

31387468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1508 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 31387468 is about 5602.4519632033. The cubic root of 31387468 is about 315.4414504201.

The spelling of 31387468 in words is "thirty-one million, three hundred eighty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 19 28 38 41 76 82 133 164 266 287 532 574 779 1148 1439 1558 2878 3116 5453 5756 10073 10906 20146 21812 27341 40292 54682 58999 109364 117998 191387 235996 382774 412993 765548 825986 1120981 1651972 2241962 4483924 7846867 15693734 31387468