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85707342 = 2337435273
BaseRepresentation
bin1010001101111…
…00101001001110
312222021101101000
411012330221032
5133420113332
612301001130
72060333430
oct506745116
9188241330
1085707342
114441a216
12248531a6
13149ab106
14b550650
1577ceb7c
hex51bca4e

85707342 has 64 divisors (see below), whose sum is σ = 222773760. Its totient is φ = 23913792.

The previous prime is 85707317. The next prime is 85707371. The reversal of 85707342 is 24370758.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 85707297 and 85707306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13618 + ... + 18890.

It is an arithmetic number, because the mean of its divisors is an integer number (3480840).

Almost surely, 285707342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85707342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111386880).

85707342 is an abundant number, since it is smaller than the sum of its proper divisors (137066418).

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

85707342 is a wasteful number, since it uses less digits than its factorization.

85707342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5334 (or 5328 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 85707342 is about 9257.8259866990. The cubic root of 85707342 is about 440.8992319164.

The spelling of 85707342 in words is "eighty-five million, seven hundred seven thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 86 126 129 189 258 301 378 387 602 774 903 1161 1806 2322 2709 5273 5418 8127 10546 15819 16254 31638 36911 47457 73822 94914 110733 142371 221466 226739 284742 332199 453478 664398 680217 996597 1360434 1587173 1993194 2040651 3174346 4081302 4761519 6121953 9523038 12243906 14284557 28569114 42853671 85707342