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85343232 = 2103132137
BaseRepresentation
bin1010001011000…
…11110000000000
312221120212220110
411011203300000
5133321440412
612245111320
72054256042
oct505436000
9187525813
1085343232
11441a06a7
12246b8540
13148b1470
14b497a92
15775bd3c
hex5163c00

85343232 has 88 divisors (see below), whose sum is σ = 245083216. Its totient is φ = 26247168.

The previous prime is 85343227. The next prime is 85343233. The reversal of 85343232 is 23234358.

It is a self number, because there is not a number n which added to its sum of digits gives 85343232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85343233) 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, 38868 + ... + 41004.

Almost surely, 285343232 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 85343232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122541608).

85343232 is an abundant number, since it is smaller than the sum of its proper divisors (159739984).

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

85343232 is a wasteful number, since it uses less digits than its factorization.

85343232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2155 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 85343232 is about 9238.1400725471. The cubic root of 85343232 is about 440.2739891305.

The spelling of 85343232 in words is "eighty-five million, three hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2137 2496 3072 3328 4274 4992 6411 6656 8548 9984 12822 13312 17096 19968 25644 27781 34192 39936 51288 55562 68384 83343 102576 111124 136768 166686 205152 222248 273536 333372 410304 444496 547072 666744 820608 888992 1094144 1333488 1641216 1777984 2188288 2666976 3282432 3555968 5333952 6564864 7111936 10667904 14223872 21335808 28447744 42671616 85343232