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87023648 = 2519413491
BaseRepresentation
bin1010010111111…
…10000000100000
320001202021000002
411023332000200
5134234224043
612345115132
72104455155
oct513760040
9201667002
1087023648
1145139178
1225188aa8
131504c2aa
14b7b422c
15798ebb8
hex52fe020

87023648 has 48 divisors (see below), whose sum is σ = 184796640. Its totient is φ = 40204800.

The previous prime is 87023639. The next prime is 87023653. The reversal of 87023648 is 84632078.

It is a super-2 number, since 2×870236482 = 15146230622455808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

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 7 ways as a sum of consecutive naturals, for example, 23183 + ... + 26673.

It is an arithmetic number, because the mean of its divisors is an integer number (3849930).

Almost surely, 287023648 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 87023648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92398320).

87023648 is an abundant number, since it is smaller than the sum of its proper divisors (97772992).

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

87023648 is a wasteful number, since it uses less digits than its factorization.

87023648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3561 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 87023648 is about 9328.6466328187. The cubic root of 87023648 is about 443.1449062006.

The spelling of 87023648 in words is "eighty-seven million, twenty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 41 76 82 152 164 304 328 608 656 779 1312 1558 3116 3491 6232 6982 12464 13964 24928 27928 55856 66329 111712 132658 143131 265316 286262 530632 572524 1061264 1145048 2122528 2290096 2719489 4580192 5438978 10877956 21755912 43511824 87023648