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84878992 = 24113147331
BaseRepresentation
bin1010000111100…
…10011010010000
312220201022002101
411003302122100
5133212111432
612231130144
72050313422
oct503623220
9186638071
1084878992
1143a03930
1224513954
131477b073
14b3b6812
1576b94e7
hex50f2690

84878992 has 80 divisors (see below), whose sum is σ = 189702144. Its totient is φ = 36432000.

The previous prime is 84878987. The next prime is 84879001. The reversal of 84878992 is 29987848.

It is an unprimeable number.

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, 256267 + ... + 256597.

Almost surely, 284878992 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 84878992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94851072).

84878992 is an abundant number, since it is smaller than the sum of its proper divisors (104823152).

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

84878992 is a wasteful number, since it uses less digits than its factorization.

84878992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 422 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 55.

The square root of 84878992 is about 9212.9795397580. The cubic root of 84878992 is about 439.4742204530.

It can be divided in two parts, 84878 and 992, that multiplied together give a square (84198976 = 91762).

The spelling of 84878992 in words is "eighty-four million, eight hundred seventy-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 31 44 47 62 88 94 124 176 188 248 331 341 376 496 517 662 682 752 1034 1324 1364 1457 2068 2648 2728 2914 3641 4136 5296 5456 5828 7282 8272 10261 11656 14564 15557 16027 20522 23312 29128 31114 32054 41044 58256 62228 64108 82088 112871 124456 128216 164176 171127 225742 248912 256432 342254 451484 482267 684508 902968 964534 1369016 1805936 1929068 2738032 3858136 5304937 7716272 10609874 21219748 42439496 84878992