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84001392 = 24326173131
BaseRepresentation
bin1010000000111…
…00001001110000
312212001201020200
411000130021300
5133001021032
612200235200
72040000006
oct500341160
9185051220
1084001392
1143464542
122416bb00
1314531787
14b228a76
15759447c
hex501c270

84001392 has 120 divisors (see below), whose sum is σ = 244063248. Its totient is φ = 26956800.

The previous prime is 84001387. The next prime is 84001399. The reversal of 84001392 is 29310048.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84001399) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 641167 + ... + 641297.

Almost surely, 284001392 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 84001392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122031624).

84001392 is an abundant number, since it is smaller than the sum of its proper divisors (160061856).

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

84001392 is a wasteful number, since it uses less digits than its factorization.

84001392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 84001392 is about 9165.2273294229. The cubic root of 84001392 is about 437.9543331384.

The spelling of 84001392 in words is "eighty-four million, one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 73 122 131 144 146 183 219 244 262 292 366 393 438 488 524 549 584 657 732 786 876 976 1048 1098 1168 1179 1314 1464 1572 1752 2096 2196 2358 2628 2928 3144 3504 4392 4453 4716 5256 6288 7991 8784 8906 9432 9563 10512 13359 15982 17812 18864 19126 23973 26718 28689 31964 35624 38252 40077 47946 53436 57378 63928 71248 71919 76504 80154 86067 95892 106872 114756 127856 143838 153008 160308 172134 191784 213744 229512 287676 320616 344268 383568 459024 575352 583343 641232 688536 1150704 1166686 1377072 1750029 2333372 3500058 4666744 5250087 7000116 9333488 10500174 14000232 21000348 28000464 42000696 84001392