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87295628 = 22731163617
BaseRepresentation
bin1010011010000…
…00011010001100
320002021002002102
411031000122030
5134321430003
612355014232
72110000130
oct515003214
9202232072
1087295628
1145304552
122529a378
1315116024
14b8453c0
1579e5588
hex534068c

87295628 has 48 divisors (see below), whose sum is σ = 181622784. Its totient is φ = 35925120.

The previous prime is 87295619. The next prime is 87295631. The reversal of 87295628 is 82659278.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141176 + ... + 141792.

It is an arithmetic number, because the mean of its divisors is an integer number (3783808).

Almost surely, 287295628 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 87295628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90811392).

87295628 is an abundant number, since it is smaller than the sum of its proper divisors (94327156).

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

87295628 is a wasteful number, since it uses less digits than its factorization.

87295628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 820 counting only the distinct ones).

The product of its digits is 483840, while the sum is 47.

The square root of 87295628 is about 9343.2129377426. The cubic root of 87295628 is about 443.6060881477.

The spelling of 87295628 in words is "eighty-seven million, two hundred ninety-five thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 14 28 31 62 124 163 217 326 434 617 652 868 1141 1234 2282 2468 4319 4564 5053 8638 10106 17276 19127 20212 35371 38254 70742 76508 100571 133889 141484 201142 267778 402284 535556 703997 1407994 2815988 3117701 6235402 12470804 21823907 43647814 87295628