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86349870 = 23251950497
BaseRepresentation
bin1010010010110…
…01100000101110
320000111000202100
411021121200232
5134101143440
612322435530
72065650615
oct511314056
9200430670
1086349870
1144818a32
1224b02ba6
1314b746c9
14b67a87c
1578aa230
hex525982e

86349870 has 48 divisors (see below), whose sum is σ = 236330640. Its totient is φ = 21814272.

The previous prime is 86349869. The next prime is 86349871. The reversal of 86349870 is 7894368.

It is a happy number.

86349870 is a `hidden beast` number, since 8 + 634 + 9 + 8 + 7 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (86349869) and next prime (86349871).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86349871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23539 + ... + 26958.

It is an arithmetic number, because the mean of its divisors is an integer number (4923555).

Almost surely, 286349870 is an apocalyptic number.

86349870 is an abundant number, since it is smaller than the sum of its proper divisors (149980770).

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

86349870 is a wasteful number, since it uses less digits than its factorization.

86349870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50529 (or 50526 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 86349870 is about 9292.4630749872. The cubic root of 86349870 is about 441.9982630645.

The spelling of 86349870 in words is "eighty-six million, three hundred forty-nine thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 50497 100994 151491 252485 302982 454473 504970 757455 908946 959443 1514910 1918886 2272365 2878329 4544730 4797215 5756658 8634987 9594430 14391645 17269974 28783290 43174935 86349870