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86413152 = 2537128591
BaseRepresentation
bin1010010011010…
…00111101100000
320000121020120010
411021220331200
5134110210102
612324044520
72066333250
oct511507540
9200536503
1086413152
1144861531
1224b33740
1314b97457
14b695960
1578bdd6c
hex5268f60

86413152 has 48 divisors (see below), whose sum is σ = 259241472. Its totient is φ = 24689280.

The previous prime is 86413147. The next prime is 86413157. The reversal of 86413152 is 25131468.

It is an interprime number because it is at equal distance from previous prime (86413147) and next prime (86413157).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86413157) 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, 63624 + ... + 64967.

It is an arithmetic number, because the mean of its divisors is an integer number (5400864).

Almost surely, 286413152 is an apocalyptic number.

It is an amenable number.

86413152 is an abundant number, since it is smaller than the sum of its proper divisors (172828320).

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

86413152 is a wasteful number, since it uses less digits than its factorization.

86413152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128611 (or 128603 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 86413152 is about 9295.8674689348. The cubic root of 86413152 is about 442.1062103572.

The spelling of 86413152 in words is "eighty-six million, four hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 128591 257182 385773 514364 771546 900137 1028728 1543092 1800274 2057456 2700411 3086184 3600548 4114912 5400822 6172368 7201096 10801644 12344736 14402192 21603288 28804384 43206576 86413152