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84130752 = 263479323
BaseRepresentation
bin1010000001110…
…11101111000000
312212022021200210
411000323233000
5133014141002
612203114120
72041046106
oct500735700
9185267623
1084130752
1143542752
1224212940
1314578614
14b25dc76
1575bc96c
hex503bbc0

84130752 has 56 divisors (see below), whose sum is σ = 227356416. Its totient is φ = 27443968.

The previous prime is 84130751. The next prime is 84130771. The reversal of 84130752 is 25703148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84130751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4363 + ... + 13685.

It is an arithmetic number, because the mean of its divisors is an integer number (4059936).

Almost surely, 284130752 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 84130752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113678208).

84130752 is an abundant number, since it is smaller than the sum of its proper divisors (143225664).

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

84130752 is a wasteful number, since it uses less digits than its factorization.

84130752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9385 (or 9375 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 84130752 is about 9172.2817226686. The cubic root of 84130752 is about 438.1790306672.

The spelling of 84130752 in words is "eighty-four million, one hundred thirty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 2256 3008 4512 9024 9323 18646 27969 37292 55938 74584 111876 149168 223752 298336 438181 447504 596672 876362 895008 1314543 1752724 1790016 2629086 3505448 5258172 7010896 10516344 14021792 21032688 28043584 42065376 84130752