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87428304 = 2432738317
BaseRepresentation
bin1010011011000…
…00110011010000
320002111211002100
411031200303100
5134340201204
612401520400
72111062005
oct515406320
9202454070
1087428304
11453951a7
1225343100
1315161532
14b87b8ac
157a1ea39
hex5360cd0

87428304 has 60 divisors (see below), whose sum is σ = 248059396. Its totient is φ = 28740096.

The previous prime is 87428287. The next prime is 87428317. The reversal of 87428304 is 40382478.

It can be written as a sum of positive squares in 2 ways, for example, as 72590400 + 14837904 = 8520^2 + 3852^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6354 + ... + 14670.

Almost surely, 287428304 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 87428304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124029698).

87428304 is an abundant number, since it is smaller than the sum of its proper divisors (160631092).

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

87428304 is a wasteful number, since it uses less digits than its factorization.

87428304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8404 (or 8395 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 87428304 is about 9350.3103691803. The cubic root of 87428304 is about 443.8307121850.

The spelling of 87428304 in words is "eighty-seven million, four hundred twenty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2628 3504 5256 8317 10512 16634 24951 33268 49902 66536 74853 99804 133072 149706 199608 299412 399216 598824 607141 1197648 1214282 1821423 2428564 3642846 4857128 5464269 7285692 9714256 10928538 14571384 21857076 29142768 43714152 87428304