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31426272 = 253336373
BaseRepresentation
bin111011111100…
…0011011100000
32012010121202000
41313320123200
531021120042
63041324000
7531055533
oct167703340
965117660
1031426272
1116815029
12a636600
136684237
144260a1a
152b5b74c
hex1df86e0

31426272 has 48 divisors (see below), whose sum is σ = 91662480. Its totient is φ = 10475136.

The previous prime is 31426267. The next prime is 31426273. The reversal of 31426272 is 27262413.

31426272 is a `hidden beast` number, since 31 + 4 + 2 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×314262722 = 1975221143635968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31426273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17323 + ... + 19050.

It is an arithmetic number, because the mean of its divisors is an integer number (1909635).

Almost surely, 231426272 is an apocalyptic number.

31426272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31426272 is an abundant number, since it is smaller than the sum of its proper divisors (60236208).

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

31426272 is a wasteful number, since it uses less digits than its factorization.

31426272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36392 (or 36378 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 31426272 is about 5605.9140200328. The cubic root of 31426272 is about 315.5713892148.

Adding to 31426272 its reverse (27262413), we get a palindrome (58688685).

The spelling of 31426272 in words is "thirty-one million, four hundred twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 36373 72746 109119 145492 218238 290984 327357 436476 581968 654714 872952 982071 1163936 1309428 1745904 1964142 2618856 3491808 3928284 5237712 7856568 10475424 15713136 31426272