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31293392 = 2413271163
BaseRepresentation
bin111011101011…
…1111111010000
32011212212110112
41313113333100
531002342032
63034420452
7526663244
oct167277720
964785415
1031293392
1116734209
12a591728
136638900
144228424
152b321b2
hex1dd7fd0

31293392 has 60 divisors (see below), whose sum is σ = 66986784. Its totient is φ = 14152320.

The previous prime is 31293389. The next prime is 31293439. The reversal of 31293392 is 29339213.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 191903 + ... + 192065.

Almost surely, 231293392 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 31293392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33493392).

31293392 is an abundant number, since it is smaller than the sum of its proper divisors (35693392).

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

31293392 is a wasteful number, since it uses less digits than its factorization.

31293392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 249 counting only the distinct ones).

The product of its digits is 8748, while the sum is 32.

The square root of 31293392 is about 5594.0496958822. The cubic root of 31293392 is about 315.1259830326.

The spelling of 31293392 in words is "thirty-one million, two hundred ninety-three thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 52 71 104 142 163 169 208 284 326 338 568 652 676 923 1136 1304 1352 1846 2119 2608 2704 3692 4238 7384 8476 11573 11999 14768 16952 23146 23998 27547 33904 46292 47996 55094 92584 95992 110188 150449 185168 191984 220376 300898 440752 601796 1203592 1955837 2407184 3911674 7823348 15646696 31293392