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31097952 = 253335993
BaseRepresentation
bin111011010100…
…0010001100000
32011111221101000
41312220101200
530430113302
63030312000
7525220404
oct166502140
964457330
1031097952
1116610396
12a4b8600
13659a972
1441b7104
152ae431c
hex1da8460

31097952 has 48 divisors (see below), whose sum is σ = 90704880. Its totient is φ = 10365696.

The previous prime is 31097933. The next prime is 31097953. The reversal of 31097952 is 25979013.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31097953) 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, 17133 + ... + 18860.

It is an arithmetic number, because the mean of its divisors is an integer number (1889685).

Almost surely, 231097952 is an apocalyptic number.

31097952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31097952 is an abundant number, since it is smaller than the sum of its proper divisors (59606928).

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

31097952 is a wasteful number, since it uses less digits than its factorization.

31097952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36012 (or 35998 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 31097952 is about 5576.5537745098. The cubic root of 31097952 is about 314.4685824396.

The spelling of 31097952 in words is "thirty-one million, ninety-seven thousand, nine hundred fifty-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 35993 71986 107979 143972 215958 287944 323937 431916 575888 647874 863832 971811 1151776 1295748 1727664 1943622 2591496 3455328 3887244 5182992 7774488 10365984 15548976 31097952