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86903872 = 2611197389
BaseRepresentation
bin1010010111000…
…00110001000000
320001112011200221
411023200301000
5134221410442
612342352424
72103446026
oct513406100
9201464627
1086903872
1145067190
122512b714
1315009913
14b782716
157969467
hex52e0c40

86903872 has 112 divisors (see below), whose sum is σ = 202996800. Its totient is φ = 36495360.

The previous prime is 86903863. The next prime is 86903899. The reversal of 86903872 is 27830968.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 976404 + ... + 976492.

Almost surely, 286903872 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 86903872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101498400).

86903872 is an abundant number, since it is smaller than the sum of its proper divisors (116092928).

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

86903872 is a wasteful number, since it uses less digits than its factorization.

86903872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 86903872 is about 9322.2246272014. The cubic root of 86903872 is about 442.9415036554.

The spelling of 86903872 in words is "eighty-six million, nine hundred three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 73 76 88 89 146 152 176 178 209 292 304 352 356 418 584 608 704 712 803 836 979 1168 1216 1387 1424 1606 1672 1691 1958 2336 2774 2848 3212 3344 3382 3916 4672 5548 5696 6424 6497 6688 6764 7832 11096 12848 12994 13376 13528 15257 15664 18601 22192 25696 25988 27056 30514 31328 37202 44384 51392 51976 54112 61028 62656 71467 74404 88768 103952 108224 122056 123443 142934 148808 207904 244112 246886 285868 297616 415808 488224 493772 571736 595232 976448 987544 1143472 1190464 1357873 1975088 2286944 2715746 3950176 4573888 5431492 7900352 10862984 21725968 43451936 86903872