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84707952 = 2437594273
BaseRepresentation
bin1010000110010…
…00101001110000
312220101121110120
411003020221300
5133141123302
612223330240
72046001650
oct503105160
9186347416
1084707952
11438a737a
1224450980
131471b264
14b370360
1576839bc
hex50c8a70

84707952 has 80 divisors (see below), whose sum is σ = 254388480. Its totient is φ = 23786496.

The previous prime is 84707951. The next prime is 84707981. The reversal of 84707952 is 25970748.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84707951) 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, 17688 + ... + 21960.

It is an arithmetic number, because the mean of its divisors is an integer number (3179856).

Almost surely, 284707952 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 84707952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127194240).

84707952 is an abundant number, since it is smaller than the sum of its proper divisors (169680528).

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

84707952 is a wasteful number, since it uses less digits than its factorization.

84707952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4350 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 84707952 is about 9203.6923025490. The cubic root of 84707952 is about 439.1788265213.

The spelling of 84707952 in words is "eighty-four million, seven hundred seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 118 168 177 236 336 354 413 472 708 826 944 1239 1416 1652 2478 2832 3304 4273 4956 6608 8546 9912 12819 17092 19824 25638 29911 34184 51276 59822 68368 89733 102552 119644 179466 205104 239288 252107 358932 478576 504214 717864 756321 1008428 1435728 1512642 1764749 2016856 3025284 3529498 4033712 5294247 6050568 7058996 10588494 12101136 14117992 21176988 28235984 42353976 84707952