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84022752 = 25311251317
BaseRepresentation
bin1010000001000…
…01010111100000
312212002210112210
411000201113200
5133002212002
612200522120
72040116202
oct500412740
9185083483
1084022752
11434795a0
1224180340
131453b408
14b232772
15759a96c
hex50215e0

84022752 has 96 divisors (see below), whose sum is σ = 242331264. Its totient is φ = 25280000.

The previous prime is 84022747. The next prime is 84022777. The reversal of 84022752 is 25722048.

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

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, 264898 + ... + 265214.

It is an arithmetic number, because the mean of its divisors is an integer number (2524284).

Almost surely, 284022752 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 84022752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121165632).

84022752 is an abundant number, since it is smaller than the sum of its proper divisors (158308512).

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

84022752 is a wasteful number, since it uses less digits than its factorization.

84022752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 84022752 is about 9166.3925292342. The cubic root of 84022752 is about 437.9914512207.

The spelling of 84022752 in words is "eighty-four million, twenty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 251 264 317 352 502 528 634 753 951 1004 1056 1268 1506 1902 2008 2536 2761 3012 3487 3804 4016 5072 5522 6024 6974 7608 8032 8283 10144 10461 11044 12048 13948 15216 16566 20922 22088 24096 27896 30432 33132 41844 44176 55792 66264 79567 83688 88352 111584 132528 159134 167376 238701 265056 318268 334752 477402 636536 875237 954804 1273072 1750474 1909608 2546144 2625711 3500948 3819216 5251422 7001896 7638432 10502844 14003792 21005688 28007584 42011376 84022752