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86923008 = 2832311217
BaseRepresentation
bin1010010111001…
…01011100000000
320001120010221200
411023211130000
5134223014013
612343021200
72103555564
oct513453400
9201503850
1086923008
114507a5a7
122513a800
1315015543
14b7896a4
15796ee73
hex52e5700

86923008 has 108 divisors (see below), whose sum is σ = 258917568. Its totient is φ = 28016640.

The previous prime is 86922973. The next prime is 86923019. The reversal of 86923008 is 80032968.

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, 70816 + ... + 72032.

Almost surely, 286923008 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 86923008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129458784).

86923008 is an abundant number, since it is smaller than the sum of its proper divisors (171994560).

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

86923008 is a wasteful number, since it uses less digits than its factorization.

86923008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 86923008 is about 9323.2509351620. The cubic root of 86923008 is about 442.9740127805.

The spelling of 86923008 in words is "eighty-six million, nine hundred twenty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 558 576 744 768 992 1116 1152 1217 1488 1984 2232 2304 2434 2976 3651 3968 4464 4868 5952 7302 7936 8928 9736 10953 11904 14604 17856 19472 21906 23808 29208 35712 37727 38944 43812 58416 71424 75454 77888 87624 113181 116832 150908 155776 175248 226362 233664 301816 311552 339543 350496 452724 467328 603632 679086 700992 905448 934656 1207264 1358172 1401984 1810896 2414528 2716344 2803968 3621792 4829056 5432688 7243584 9658112 10865376 14487168 21730752 28974336 43461504 86923008