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84089856 = 210331883
BaseRepresentation
bin1010000001100…
…01110000000000
312212020012121010
411000301300000
5133011333411
612202200520
72040515634
oct500616000
9185205533
1084089856
1143514a54
12241b3140
1314562b16
14b24cdc4
1575b07a6
hex5031c00

84089856 has 88 divisors (see below), whose sum is σ = 231622144. Its totient is φ = 27095040.

The previous prime is 84089843. The next prime is 84089881. The reversal of 84089856 is 65898048.

It is a super-2 number, since 2×840898562 = 14142207764201472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94791 + ... + 95673.

Almost surely, 284089856 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 84089856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115811072).

84089856 is an abundant number, since it is smaller than the sum of its proper divisors (147532288).

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

84089856 is a wasteful number, since it uses less digits than its factorization.

84089856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 84089856 is about 9170.0521263513. The cubic root of 84089856 is about 438.1080194789.

The spelling of 84089856 in words is "eighty-four million, eighty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 883 992 1024 1488 1536 1766 1984 2649 2976 3072 3532 3968 5298 5952 7064 7936 10596 11904 14128 15872 21192 23808 27373 28256 31744 42384 47616 54746 56512 82119 84768 95232 109492 113024 164238 169536 218984 226048 328476 339072 437968 452096 656952 678144 875936 904192 1313904 1356288 1751872 2627808 2712576 3503744 5255616 7007488 10511232 14014976 21022464 28029952 42044928 84089856