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86739642 = 232112811559
BaseRepresentation
bin1010010101110…
…00101010111010
320001012211102100
411022320222322
5134201132032
612335044230
72102163153
oct512705272
9201184370
1086739642
1144a64860
1225070676
1314c7cc42
14b73c92a
15793597c
hex52b8aba

86739642 has 48 divisors (see below), whose sum is σ = 205882560. Its totient is φ = 26174400.

The previous prime is 86739613. The next prime is 86739659. The reversal of 86739642 is 24693768.

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, 54859 + ... + 56417.

It is an arithmetic number, because the mean of its divisors is an integer number (4289220).

Almost surely, 286739642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86739642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102941280).

86739642 is an abundant number, since it is smaller than the sum of its proper divisors (119142918).

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

86739642 is a wasteful number, since it uses less digits than its factorization.

86739642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1856 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 86739642 is about 9313.4119419255. The cubic root of 86739642 is about 442.6623056809.

The spelling of 86739642 in words is "eighty-six million, seven hundred thirty-nine thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 281 562 843 1559 1686 2529 3091 3118 4677 5058 6182 9273 9354 14031 17149 18546 27819 28062 34298 51447 55638 102894 154341 308682 438079 876158 1314237 2628474 3942711 4818869 7885422 9637738 14456607 28913214 43369821 86739642