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87376896 = 2103219499
BaseRepresentation
bin1010011010101…
…00010000000000
320002102012120100
411031110100000
5134332030041
612400442400
72110456065
oct515242000
9202365510
1087376896
114535a612
1225319400
1315144009
14b866c6c
157a0e6b6
hex5354400

87376896 has 132 divisors (see below), whose sum is σ = 266110000. Its totient is φ = 27537408.

The previous prime is 87376847. The next prime is 87376951. The reversal of 87376896 is 69867378.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174855 + ... + 175353.

Almost surely, 287376896 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 87376896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133055000).

87376896 is an abundant number, since it is smaller than the sum of its proper divisors (178733104).

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

87376896 is a wasteful number, since it uses less digits than its factorization.

87376896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 523 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 87376896 is about 9347.5609653000. The cubic root of 87376896 is about 443.7437040435.

The spelling of 87376896 in words is "eighty-seven million, three hundred seventy-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 499 512 576 608 684 768 912 998 1024 1152 1216 1368 1497 1536 1824 1996 2304 2432 2736 2994 3072 3648 3992 4491 4608 4864 5472 5988 7296 7984 8982 9216 9481 9728 10944 11976 14592 15968 17964 18962 19456 21888 23952 28443 29184 31936 35928 37924 43776 47904 56886 58368 63872 71856 75848 85329 87552 95808 113772 127744 143712 151696 170658 175104 191616 227544 255488 287424 303392 341316 383232 455088 510976 574848 606784 682632 766464 910176 1149696 1213568 1365264 1532928 1820352 2299392 2427136 2730528 3640704 4598784 4854272 5461056 7281408 9708544 10922112 14562816 21844224 29125632 43688448 87376896