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31054608 = 24321353313
BaseRepresentation
bin111011001110…
…1101100010000
32011102201220200
41312131230100
530422221413
63025335200
7524650134
oct166355420
964381820
1031054608
1116590872
12a497500
136584010
1441a53c4
152ad6573
hex1d9db10

31054608 has 120 divisors (see below), whose sum is σ = 95665752. Its totient is φ = 9345024.

The previous prime is 31054579. The next prime is 31054609. The reversal of 31054608 is 80645013.

31054608 is a `hidden beast` number, since 3 + 1 + 0 + 54 + 608 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51984 + 31002624 = 228^2 + 5568^2 .

It is not an unprimeable number, because it can be changed into a prime (31054609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99060 + ... + 99372.

Almost surely, 231054608 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 31054608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47832876).

31054608 is an abundant number, since it is smaller than the sum of its proper divisors (64611144).

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

31054608 is a wasteful number, since it uses less digits than its factorization.

31054608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 31054608 is about 5572.6661482633. Note that the first 3 decimals coincide. The cubic root of 31054608 is about 314.3224135027.

The spelling of 31054608 in words is "thirty-one million, fifty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 53 72 78 104 106 117 144 156 159 208 212 234 312 313 318 424 468 477 624 626 636 689 848 936 939 954 1252 1272 1378 1872 1878 1908 2067 2504 2544 2756 2817 3756 3816 4069 4134 5008 5512 5634 6201 7512 7632 8138 8268 11024 11268 12207 12402 15024 16276 16536 16589 22536 24414 24804 32552 33072 33178 36621 45072 48828 49608 49767 65104 66356 73242 97656 99216 99534 132712 146484 149301 195312 199068 215657 265424 292968 298602 398136 431314 585936 597204 646971 796272 862628 1194408 1293942 1725256 1940913 2388816 2587884 3450512 3881826 5175768 7763652 10351536 15527304 31054608