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86452380 = 22335722871
BaseRepresentation
bin1010010011100…
…10100010011100
320000200020101000
411021302202130
5134112434010
612324550300
72066555520
oct511624234
9200606330
1086452380
1144888a53
1224b52390
1314bac271
14b6a5d80
1578ca7c0
hex527289c

86452380 has 96 divisors (see below), whose sum is σ = 307399680. Its totient is φ = 19759680.

The previous prime is 86452349. The next prime is 86452409. The reversal of 86452380 is 8325468.

86452380 is a `hidden beast` number, since 8 + 645 + 2 + 3 + 8 + 0 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7656 + ... + 15215.

It is an arithmetic number, because the mean of its divisors is an integer number (3202080).

Almost surely, 286452380 is an apocalyptic number.

It is an amenable number.

86452380 is an abundant number, since it is smaller than the sum of its proper divisors (220947300).

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

86452380 is a wasteful number, since it uses less digits than its factorization.

86452380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22896 (or 22888 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 86452380 is about 9297.9771993698. The cubic root of 86452380 is about 442.1730995531.

It can be divided in two parts, 8645 and 2380, that added together give a square (11025 = 1052).

The spelling of 86452380 in words is "eighty-six million, four hundred fifty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 22871 45742 68613 91484 114355 137226 160097 205839 228710 274452 320194 343065 411678 457420 480291 617517 640388 686130 800485 823356 960582 1029195 1235034 1372260 1440873 1600970 1921164 2058390 2401455 2470068 2881746 3087585 3201940 4116780 4322619 4802910 5763492 6175170 7204365 8645238 9605820 12350340 14408730 17290476 21613095 28817460 43226190 86452380