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87552906 = 23721931543
BaseRepresentation
bin1010011011111…
…11001110001010
320002202011000020
411031333032022
5134403143111
612404321310
72112121200
oct515771612
9202664006
1087552906
114546a881
12253a3236
13151a616c
14b8b1070
157a46906
hex537f38a

87552906 has 48 divisors (see below), whose sum is σ = 204882624. Its totient is φ = 24869376.

The previous prime is 87552889. The next prime is 87552929. The reversal of 87552906 is 60925578.

It is a super-2 number, since 2×875529062 = 15331022698089672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55971 + ... + 57513.

It is an arithmetic number, because the mean of its divisors is an integer number (4268388).

Almost surely, 287552906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87552906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102441312).

87552906 is an abundant number, since it is smaller than the sum of its proper divisors (117329718).

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

87552906 is a wasteful number, since it uses less digits than its factorization.

87552906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 87552906 is about 9356.9709842448. The cubic root of 87552906 is about 444.0414598895.

The spelling of 87552906 in words is "eighty-seven million, five hundred fifty-two thousand, nine hundred six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 193 294 386 579 1158 1351 1543 2702 3086 4053 4629 8106 9258 9457 10801 18914 21602 28371 32403 56742 64806 75607 151214 226821 297799 453642 595598 893397 1786794 2084593 4169186 6253779 12507558 14592151 29184302 43776453 87552906