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86974480 = 2452937489
BaseRepresentation
bin1010010111100…
…10000000010000
320001122202120001
411023302000100
5134231140410
612344055344
72104161625
oct513620020
9201582501
1086974480
114510523a
1225164554
1315032ab8
14b7a034c
15798033a
hex52f2010

86974480 has 40 divisors (see below), whose sum is σ = 209194200. Its totient is φ = 33589248.

The previous prime is 86974453. The next prime is 86974493. The reversal of 86974480 is 8447968.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 27499536 + 59474944 = 5244^2 + 7712^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 86974480.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16425 + ... + 21064.

It is an arithmetic number, because the mean of its divisors is an integer number (5229855).

Almost surely, 286974480 is an apocalyptic number.

86974480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86974480 is an abundant number, since it is smaller than the sum of its proper divisors (122219720).

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

86974480 is a wasteful number, since it uses less digits than its factorization.

86974480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37531 (or 37525 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 86974480 is about 9326.0109371585. The cubic root of 86974480 is about 443.0614321334.

The spelling of 86974480 in words is "eighty-six million, nine hundred seventy-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 37489 74978 149956 187445 299912 374890 599824 749780 1087181 1499560 2174362 2999120 4348724 5435905 8697448 10871810 17394896 21743620 43487240 86974480