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86804352 = 273325117
BaseRepresentation
bin1010010110010…
…00011110000000
320001100010012000
411023020132000
5134210214402
612340304000
72102552625
oct513103600
9201303160
1086804352
1144aa9438
12250a2000
1314ca352b
14b75834c
157949c1c
hex52c8780

86804352 has 64 divisors (see below), whose sum is σ = 256203600. Its totient is φ = 28933632.

The previous prime is 86804317. The next prime is 86804353. The reversal of 86804352 is 25340868.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×868043522 = 15069991052279808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86804353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9103 + ... + 16014.

Almost surely, 286804352 is an apocalyptic number.

It is an amenable number.

86804352 is an abundant number, since it is smaller than the sum of its proper divisors (169399248).

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

86804352 is a wasteful number, since it uses less digits than its factorization.

86804352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25140 (or 25122 counting only the distinct ones).

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

The square root of 86804352 is about 9316.8853164564. The cubic root of 86804352 is about 442.7723574668.

The spelling of 86804352 in words is "eighty-six million, eight hundred four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 25117 50234 75351 100468 150702 200936 226053 301404 401872 452106 602808 678159 803744 904212 1205616 1356318 1607488 1808424 2411232 2712636 3214976 3616848 4822464 5425272 7233696 9644928 10850544 14467392 21701088 28934784 43402176 86804352