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84134496 = 25317311663
BaseRepresentation
bin1010000001111…
…00101001100000
312212022110211110
411000330221200
5133014300441
612203143320
72041063035
oct500745140
9185273743
1084134496
1143545546
1224214b40
131457a234
14b26138c
1575bdb16
hex503ca60

84134496 has 96 divisors (see below), whose sum is σ = 241532928. Its totient is φ = 25528320.

The previous prime is 84134443. The next prime is 84134497. The reversal of 84134496 is 69443148.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×841344962 = 14157226834348032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84134497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49761 + ... + 51423.

It is an arithmetic number, because the mean of its divisors is an integer number (2515968).

Almost surely, 284134496 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 84134496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120766464).

84134496 is an abundant number, since it is smaller than the sum of its proper divisors (157398432).

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

84134496 is a wasteful number, since it uses less digits than its factorization.

84134496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1716 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 84134496 is about 9172.4858135622. The cubic root of 84134496 is about 438.1855305416.

The spelling of 84134496 in words is "eighty-four million, one hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 68 93 96 102 124 136 186 204 248 272 372 408 496 527 544 744 816 992 1054 1488 1581 1632 1663 2108 2976 3162 3326 4216 4989 6324 6652 8432 9978 12648 13304 16864 19956 25296 26608 28271 39912 50592 51553 53216 56542 79824 84813 103106 113084 154659 159648 169626 206212 226168 309318 339252 412424 452336 618636 678504 824848 876401 904672 1237272 1357008 1649696 1752802 2474544 2629203 2714016 3505604 4949088 5258406 7011208 10516812 14022416 21033624 28044832 42067248 84134496