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31142952 = 2332479203
BaseRepresentation
bin111011011001…
…1010000101000
32011121020002200
41312303100220
530433033302
63031300200
7525465531
oct166632050
964536080
1031142952
1116641185
12a51a660
1365b52a9
1441c9688
152b0281c
hex1db3428

31142952 has 48 divisors (see below), whose sum is σ = 86149440. Its totient is φ = 10159008.

The previous prime is 31142939. The next prime is 31142953. The reversal of 31142952 is 25924113.

It is not an unprimeable number, because it can be changed into a prime (31142953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1218 + ... + 7985.

It is an arithmetic number, because the mean of its divisors is an integer number (1794780).

Almost surely, 231142952 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 31142952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43074720).

31142952 is an abundant number, since it is smaller than the sum of its proper divisors (55006488).

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

31142952 is a wasteful number, since it uses less digits than its factorization.

31142952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9262 (or 9255 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 31142952 is about 5580.5870658919. The cubic root of 31142952 is about 314.6201922729.

The spelling of 31142952 in words is "thirty-one million, one hundred forty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 3384 9203 18406 27609 36812 55218 73624 82827 110436 165654 220872 331308 432541 662616 865082 1297623 1730164 2595246 3460328 3892869 5190492 7785738 10380984 15571476 31142952