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87023088 = 2432619907
BaseRepresentation
bin1010010111111…
…01110111110000
320001202020020100
411023331313300
5134234214323
612345112400
72104453425
oct513756760
9201666210
1087023088
1145138809
1225188700
131504bc69
14b7b3d4c
15798e943
hex52fddf0

87023088 has 60 divisors (see below), whose sum is σ = 247561288. Its totient is φ = 28529280.

The previous prime is 87023071. The next prime is 87023129. The reversal of 87023088 is 88032078.

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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3831 + ... + 13737.

Almost surely, 287023088 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 87023088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123780644).

87023088 is an abundant number, since it is smaller than the sum of its proper divisors (160538200).

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

87023088 is a wasteful number, since it uses less digits than its factorization.

87023088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9982 (or 9973 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 87023088 is about 9328.6166176985. The cubic root of 87023088 is about 443.1439556479.

The spelling of 87023088 in words is "eighty-seven million, twenty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2928 4392 8784 9907 19814 29721 39628 59442 79256 89163 118884 158512 178326 237768 356652 475536 604327 713304 1208654 1426608 1812981 2417308 3625962 4834616 5438943 7251924 9669232 10877886 14503848 21755772 29007696 43511544 87023088