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85840752 = 24317591783
BaseRepresentation
bin1010001110111…
…01001101110000
312222112011101010
411013131031300
5133433401002
612303510520
72061430404
oct507351560
9188464333
1085840752
1144500478
12248b8440
1314a26a5a
14b587104
15780946c
hex51dd370

85840752 has 80 divisors (see below), whose sum is σ = 238913280. Its totient is φ = 26459136.

The previous prime is 85840751. The next prime is 85840787. The reversal of 85840752 is 25704858.

It is a self number, because there is not a number n which added to its sum of digits gives 85840752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85840751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47253 + ... + 49035.

It is an arithmetic number, because the mean of its divisors is an integer number (2986416).

Almost surely, 285840752 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 85840752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119456640).

85840752 is an abundant number, since it is smaller than the sum of its proper divisors (153072528).

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

85840752 is a wasteful number, since it uses less digits than its factorization.

85840752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 85840752 is about 9265.0284403233. The cubic root of 85840752 is about 441.1278777246.

The spelling of 85840752 in words is "eighty-five million, eight hundred forty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 59 68 102 118 136 177 204 236 272 354 408 472 708 816 944 1003 1416 1783 2006 2832 3009 3566 4012 5349 6018 7132 8024 10698 12036 14264 16048 21396 24072 28528 30311 42792 48144 60622 85584 90933 105197 121244 181866 210394 242488 315591 363732 420788 484976 631182 727464 841576 1262364 1454928 1683152 1788349 2524728 3576698 5049456 5365047 7153396 10730094 14306792 21460188 28613584 42920376 85840752