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84633136 = 2472971367
BaseRepresentation
bin1010000101101…
…10011000110000
312220020210211121
411002312120300
5133131230021
612221552024
72045240560
oct502663060
9186223747
1084633136
1143856145
1224415614
13146c31a3
14b350da0
15766b741
hex50b6630

84633136 has 80 divisors (see below), whose sum is σ = 197130240. Its totient is φ = 34433280.

The previous prime is 84633121. The next prime is 84633139. The reversal of 84633136 is 63133648.

It is not an unprimeable number, because it can be changed into a prime (84633139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230425 + ... + 230791.

It is an arithmetic number, because the mean of its divisors is an integer number (2464128).

Almost surely, 284633136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84633136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98565120).

84633136 is an abundant number, since it is smaller than the sum of its proper divisors (112497104).

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

84633136 is a wasteful number, since it uses less digits than its factorization.

84633136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 476 counting only the distinct ones).

The product of its digits is 31104, while the sum is 34.

The square root of 84633136 is about 9199.6269489583. The cubic root of 84633136 is about 439.0494908427.

The spelling of 84633136 in words is "eighty-four million, six hundred thirty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 71 112 116 142 203 232 284 367 406 464 497 568 734 812 994 1136 1468 1624 1988 2059 2569 2936 3248 3976 4118 5138 5872 7952 8236 10276 10643 14413 16472 20552 21286 26057 28826 32944 41104 42572 52114 57652 74501 85144 104228 115304 149002 170288 182399 208456 230608 298004 364798 416912 596008 729596 755653 1192016 1459192 1511306 2918384 3022612 5289571 6045224 10579142 12090448 21158284 42316568 84633136