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87044328 = 23337232503
BaseRepresentation
bin1010011000000…
…11000011101000
320001210022101000
411030003003220
5134240404303
612345355000
72104602360
oct514030350
9201708330
1087044328
1145152768
1225198a60
1315058827
14b7bb9a0
157995da3
hex53030e8

87044328 has 128 divisors (see below), whose sum is σ = 288460800. Its totient is φ = 23779008.

The previous prime is 87044327. The next prime is 87044357. The reversal of 87044328 is 82344078.

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

It is a junction number, because it is equal to n+sod(n) for n = 87044292 and 87044301.

It is not an unprimeable number, because it can be changed into a prime (87044327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33525 + ... + 36027.

It is an arithmetic number, because the mean of its divisors is an integer number (2253600).

Almost surely, 287044328 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 87044328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144230400).

87044328 is an abundant number, since it is smaller than the sum of its proper divisors (201416472).

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

87044328 is a wasteful number, since it uses less digits than its factorization.

87044328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2548 (or 2538 counting only the distinct ones).

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

The square root of 87044328 is about 9329.7549807055. The cubic root of 87044328 is about 443.1800058968.

The spelling of 87044328 in words is "eighty-seven million, forty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 54 56 63 69 72 84 92 108 126 138 161 168 184 189 207 216 252 276 322 378 414 483 504 552 621 644 756 828 966 1242 1288 1449 1512 1656 1932 2484 2503 2898 3864 4347 4968 5006 5796 7509 8694 10012 11592 15018 17388 17521 20024 22527 30036 34776 35042 45054 52563 57569 60072 67581 70084 90108 105126 115138 135162 140168 157689 172707 180216 210252 230276 270324 315378 345414 402983 420504 460552 473067 518121 540648 630756 690828 805966 946134 1036242 1208949 1261512 1381656 1554363 1611932 1892268 2072484 2417898 3108726 3223864 3626847 3784536 4144968 4835796 6217452 7253694 9671592 10880541 12434904 14507388 21761082 29014776 43522164 87044328