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86253952 = 27976947
BaseRepresentation
bin1010010010000…
…10000110000000
320000022011011211
411021002012000
5134040111302
612320415504
72065101151
oct511020600
9200264154
1086253952
1144762964
1224a77594
1314b3cb55
14b653928
15788bad7
hex5242180

86253952 has 32 divisors (see below), whose sum is σ = 173630520. Its totient is φ = 42676224.

The previous prime is 86253943. The next prime is 86253983. The reversal of 86253952 is 25935268.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8943 + ... + 15889.

Almost surely, 286253952 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 86253952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86815260).

86253952 is an abundant number, since it is smaller than the sum of its proper divisors (87376568).

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

86253952 is an equidigital number, since it uses as much as digits as its factorization.

86253952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7058 (or 7046 counting only the distinct ones).

The product of its digits is 129600, while the sum is 40.

The square root of 86253952 is about 9287.3005765938. The cubic root of 86253952 is about 441.8345442430.

The spelling of 86253952 in words is "eighty-six million, two hundred fifty-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 97 128 194 388 776 1552 3104 6208 6947 12416 13894 27788 55576 111152 222304 444608 673859 889216 1347718 2695436 5390872 10781744 21563488 43126976 86253952