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87079424 = 29533209
BaseRepresentation
bin1010011000010…
…11101000000000
320001212002111212
411030023220000
5134243020144
612350225252
72105106605
oct514135000
9201762455
1087079424
1145177073
12251b5228
131506b7b3
14b7ca6ac
1579a149e
hex530ba00

87079424 has 40 divisors (see below), whose sum is σ = 177326820. Its totient is φ = 42704896.

The previous prime is 87079397. The next prime is 87079427. The reversal of 87079424 is 42497078.

It can be written as a sum of positive squares in 2 ways, for example, as 85229824 + 1849600 = 9232^2 + 1360^2 .

It is not an unprimeable number, because it can be changed into a prime (87079427) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25532 + ... + 28740.

Almost surely, 287079424 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 87079424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88663410).

87079424 is an abundant number, since it is smaller than the sum of its proper divisors (90247396).

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

87079424 is an equidigital number, since it uses as much as digits as its factorization.

87079424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3280 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 87079424 is about 9331.6356551250. The cubic root of 87079424 is about 443.2395608228.

The spelling of 87079424 in words is "eighty-seven million, seventy-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1696 3209 3392 6418 6784 12836 13568 25672 27136 51344 102688 170077 205376 340154 410752 680308 821504 1360616 1643008 2721232 5442464 10884928 21769856 43539712 87079424