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84939192 = 2335133361
BaseRepresentation
bin1010001000000…
…01000110111000
312220211100200000
411010001012320
5133221023232
612232313000
72050654062
oct504010670
9186740600
1084939192
1143a45088
1224542760
131479c5a0
14b3d0732
1576cc27c
hex51011b8

84939192 has 96 divisors (see below), whose sum is σ = 256991280. Its totient is φ = 26127360.

The previous prime is 84939149. The next prime is 84939193. The reversal of 84939192 is 29193948.

It is a super-2 number, since 2×849391922 = 14429332675225728, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84939193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23592 + ... + 26952.

Almost surely, 284939192 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 84939192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128495640).

84939192 is an abundant number, since it is smaller than the sum of its proper divisors (172052088).

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

84939192 is a wasteful number, since it uses less digits than its factorization.

84939192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395 (or 3379 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 84939192 is about 9216.2460904644. The cubic root of 84939192 is about 439.5780941962.

The spelling of 84939192 in words is "eighty-four million, nine hundred thirty-nine thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 936 972 1053 1404 1944 2106 2808 3159 3361 4212 6318 6722 8424 10083 12636 13444 20166 25272 26888 30249 40332 43693 60498 80664 87386 90747 120996 131079 174772 181494 241992 262158 272241 349544 362988 393237 524316 544482 725976 786474 816723 1048632 1088964 1179711 1572948 1633446 2177928 2359422 3145896 3266892 3539133 4718844 6533784 7078266 9437688 10617399 14156532 21234798 28313064 42469596 84939192