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31049920 = 265118821
BaseRepresentation
bin111011001110…
…0100011000000
32011102111111001
41312130203000
530422044140
63025301344
7524630356
oct166344300
964374431
1031049920
11165882a0
12a494854
136581b45
1441a37d6
152ad4e9a
hex1d9c8c0

31049920 has 56 divisors (see below), whose sum is σ = 80668368. Its totient is φ = 11289600.

The previous prime is 31049899. The next prime is 31049947. The reversal of 31049920 is 2994013.

It is a happy number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 891 + ... + 7930.

Almost surely, 231049920 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 31049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40334184).

31049920 is an abundant number, since it is smaller than the sum of its proper divisors (49618448).

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

31049920 is a wasteful number, since it uses less digits than its factorization.

31049920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8849 (or 8839 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 31049920 is about 5572.2455078720. The cubic root of 31049920 is about 314.3065960151.

The spelling of 31049920 in words is "thirty-one million, forty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 8821 17642 35284 44105 70568 88210 97031 141136 176420 194062 282272 352840 388124 485155 564544 705680 776248 970310 1411360 1552496 1940620 2822720 3104992 3881240 6209984 7762480 15524960 31049920