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88468680 = 23351722551
BaseRepresentation
bin1010100010111…
…10110011001000
320011110200012210
411101132303020
5140121444210
612440105120
72122654116
oct521366310
9204420183
1088468680
1145a35913
12257651a0
1315436c41
14ba6cab6
157b77e20
hex545ecc8

88468680 has 96 divisors (see below), whose sum is σ = 282047040. Its totient is φ = 22195200.

The previous prime is 88468669. The next prime is 88468747. The reversal of 88468680 is 8686488.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33405 + ... + 35955.

It is an arithmetic number, because the mean of its divisors is an integer number (2937990).

Almost surely, 288468680 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 88468680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141023520).

88468680 is an abundant number, since it is smaller than the sum of its proper divisors (193578360).

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

88468680 is a wasteful number, since it uses less digits than its factorization.

88468680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The square root of 88468680 is about 9405.7790745903. The cubic root of 88468680 is about 445.5842681019.

The spelling of 88468680 in words is "eighty-eight million, four hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 289 340 408 510 578 680 867 1020 1156 1445 1734 2040 2312 2551 2890 3468 4335 5102 5780 6936 7653 8670 10204 11560 12755 15306 17340 20408 25510 30612 34680 38265 43367 51020 61224 76530 86734 102040 130101 153060 173468 216835 260202 306120 346936 433670 520404 650505 737239 867340 1040808 1301010 1474478 1734680 2211717 2602020 2948956 3686195 4423434 5204040 5897912 7372390 8846868 11058585 14744780 17693736 22117170 29489560 44234340 88468680