Search a number
-
+
86972952 = 233111719379
BaseRepresentation
bin1010010111100…
…01101000011000
320001122200110110
411023301220120
5134231113302
612344044320
72104154313
oct513615030
9201580413
1086972952
1145104080
12251636a0
13150321b1
14b79d97a
15797eb6c
hex52f1a18

86972952 has 64 divisors (see below), whose sum is σ = 251164800. Its totient is φ = 24803840.

The previous prime is 86972927. The next prime is 86972987. The reversal of 86972952 is 25927968.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5202 + ... + 14177.

It is an arithmetic number, because the mean of its divisors is an integer number (3924450).

Almost surely, 286972952 is an apocalyptic number.

It is an amenable number.

86972952 is an abundant number, since it is smaller than the sum of its proper divisors (164191848).

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

86972952 is a wasteful number, since it uses less digits than its factorization.

86972952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19416 (or 19412 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 86972952 is about 9325.9290153850. The cubic root of 86972952 is about 443.0588374956.

The spelling of 86972952 in words is "eighty-six million, nine hundred seventy-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 4488 19379 38758 58137 77516 116274 155032 213169 232548 329443 426338 465096 639507 658886 852676 988329 1279014 1317772 1705352 1976658 2558028 2635544 3623873 3953316 5116056 7247746 7906632 10871619 14495492 21743238 28990984 43486476 86972952