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84136392 = 2332232472
BaseRepresentation
bin1010000001111…
…01000111001000
312212022120102200
411000331013020
5133014331032
612203200200
72041101414
oct500750710
9185276380
1084136392
1143546a0a
1224216060
131457b062
14b261d44
1575be47c
hex503d1c8

84136392 has 108 divisors (see below), whose sum is σ = 243383595. Its totient is φ = 26255328.

The previous prime is 84136379. The next prime is 84136397. The reversal of 84136392 is 29363148.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

84136392 is a `hidden beast` number, since 8 + 4 + 13 + 639 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42068196 + 42068196 = 6486^2 + 6486^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=6486.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (84136397) 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 26 ways as a sum of consecutive naturals, for example, 1790113 + ... + 1790159.

Almost surely, 284136392 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 84136392

84136392 is an abundant number, since it is smaller than the sum of its proper divisors (159247203).

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

84136392 is a wasteful number, since it uses less digits than its factorization.

84136392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 75 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 84136392 is about 9172.5891655519. The cubic root of 84136392 is about 438.1888220711.

The spelling of 84136392 in words is "eighty-four million, one hundred thirty-six thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 47 69 72 92 94 138 141 184 188 207 276 282 376 414 423 529 552 564 828 846 1058 1081 1128 1587 1656 1692 2116 2162 2209 3174 3243 3384 4232 4324 4418 4761 6348 6486 6627 8648 8836 9522 9729 12696 12972 13254 17672 19044 19458 19881 24863 25944 26508 38088 38916 39762 49726 50807 53016 74589 77832 79524 99452 101614 149178 152421 159048 198904 203228 223767 298356 304842 406456 447534 457263 596712 609684 895068 914526 1168561 1219368 1790136 1829052 2337122 3505683 3658104 4674244 7011366 9348488 10517049 14022732 21034098 28045464 42068196 84136392