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84931392 = 2637134861
BaseRepresentation
bin1010000111111…
…11001101000000
312220210221222010
411003333031000
5133220301032
612232212520
72050622250
oct503771500
9186727863
1084931392
1143a3a237
122453a140
1314798b80
14b3cb960
1576c9ccc
hex50ff340

84931392 has 112 divisors (see below), whose sum is σ = 276628352. Its totient is φ = 22394880.

The previous prime is 84931381. The next prime is 84931403. The reversal of 84931392 is 29313948.

It is an interprime number because it is at equal distance from previous prime (84931381) and next prime (84931403).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 84931392.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15042 + ... + 19902.

It is an arithmetic number, because the mean of its divisors is an integer number (2469896).

Almost surely, 284931392 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 84931392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138314176).

84931392 is an abundant number, since it is smaller than the sum of its proper divisors (191696960).

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

84931392 is a wasteful number, since it uses less digits than its factorization.

84931392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4896 (or 4886 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 84931392 is about 9215.8229149653. The cubic root of 84931392 is about 439.5646382402.

The spelling of 84931392 in words is "eighty-four million, nine hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 4861 5824 8736 9722 14583 17472 19444 29166 34027 38888 58332 63193 68054 77776 102081 116664 126386 136108 155552 189579 204162 233328 252772 272216 311104 379158 408324 442351 466656 505544 544432 758316 816648 884702 933312 1011088 1088864 1327053 1516632 1633296 1769404 2022176 2177728 2654106 3033264 3266592 3538808 4044352 5308212 6066528 6533184 7077616 10616424 12133056 14155232 21232848 28310464 42465696 84931392