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84263712 = 25313251269
BaseRepresentation
bin1010000010111…
…00001100100000
312212120001002020
411001130030200
5133032414322
612210021440
72042141541
oct501341440
9185501066
1084263712
1143623635
1224277880
13145c3cb0
14b2964c8
1575e705c
hex505c320

84263712 has 96 divisors (see below), whose sum is σ = 240045120. Its totient is φ = 25728000.

The previous prime is 84263701. The next prime is 84263717. The reversal of 84263712 is 21736248.

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

It is not an unprimeable number, because it can be changed into a prime (84263717) 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, 313114 + ... + 313382.

It is an arithmetic number, because the mean of its divisors is an integer number (2500470).

Almost surely, 284263712 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 84263712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120022560).

84263712 is an abundant number, since it is smaller than the sum of its proper divisors (155781408).

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

84263712 is a wasteful number, since it uses less digits than its factorization.

84263712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 538 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 84263712 is about 9179.5267851889. The cubic root of 84263712 is about 438.4097414675.

The spelling of 84263712 in words is "eighty-four million, two hundred sixty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 251 269 312 416 502 538 624 753 807 1004 1076 1248 1506 1614 2008 2152 3012 3228 3263 3497 4016 4304 6024 6456 6526 6994 8032 8608 9789 10491 12048 12912 13052 13988 19578 20982 24096 25824 26104 27976 39156 41964 52208 55952 67519 78312 83928 104416 111904 135038 156624 167856 202557 270076 313248 335712 405114 540152 810228 877747 1080304 1620456 1755494 2160608 2633241 3240912 3510988 5266482 6481824 7021976 10532964 14043952 21065928 28087904 42131856 84263712