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84045552 = 24317127811
BaseRepresentation
bin1010000001001…
…10111011110000
312212010221211020
411000212323300
5133003424202
612201215440
72040242523
oct500467360
9185127736
1084045552
1143494738
1224191580
13145488c6
14b23abba
1575a25bc
hex5026ef0

84045552 has 80 divisors (see below), whose sum is σ = 231985152. Its totient is φ = 26127360.

The previous prime is 84045503. The next prime is 84045581. The reversal of 84045552 is 25554048.

It is a super-3 number, since 3×840455523 (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103227 + ... + 104037.

Almost surely, 284045552 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 84045552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115992576).

84045552 is an abundant number, since it is smaller than the sum of its proper divisors (147939600).

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

84045552 is a wasteful number, since it uses less digits than its factorization.

84045552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The square root of 84045552 is about 9167.6361184331. The cubic root of 84045552 is about 438.0310647052.

The spelling of 84045552 in words is "eighty-four million, forty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 127 136 204 254 272 381 408 508 762 811 816 1016 1524 1622 2032 2159 2433 3048 3244 4318 4866 6096 6477 6488 8636 9732 12954 12976 13787 17272 19464 25908 27574 34544 38928 41361 51816 55148 82722 102997 103632 110296 165444 205994 220592 308991 330888 411988 617982 661776 823976 1235964 1647952 1750949 2471928 3501898 4943856 5252847 7003796 10505694 14007592 21011388 28015184 42022776 84045552