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31742532 = 22323972221
BaseRepresentation
bin111100100010…
…1101001000100
32012201200120100
41321011221010
531111230112
63052204100
7533543553
oct171055104
965650510
1031742532
1116a106a8
12a769630
136765183
144303d9a
152bc02dc
hex1e45a44

31742532 has 36 divisors (see below), whose sum is σ = 80476396. Its totient is φ = 10549440.

The previous prime is 31742527. The next prime is 31742533. The reversal of 31742532 is 23524713.

It can be written as a sum of positive squares in 2 ways, for example, as 21399876 + 10342656 = 4626^2 + 3216^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 31742496 and 31742505.

It is not an unprimeable number, because it can be changed into a prime (31742533) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 13182 + ... + 15402.

Almost surely, 231742532 is an apocalyptic number.

It is an amenable number.

31742532 is an abundant number, since it is smaller than the sum of its proper divisors (48733864).

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

31742532 is a wasteful number, since it uses less digits than its factorization.

31742532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628 (or 2623 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 31742532 is about 5634.0511179790. The cubic root of 31742532 is about 316.6264478315.

It can be divided in two parts, 317 and 42532, that added together give a square (42849 = 2072).

The spelling of 31742532 in words is "thirty-one million, seven hundred forty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 397 794 1191 1588 2221 2382 3573 4442 4764 6663 7146 8884 13326 14292 19989 26652 39978 79956 881737 1763474 2645211 3526948 5290422 7935633 10580844 15871266 31742532