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84279328 = 2573153229
BaseRepresentation
bin1010000011000…
…00000000100000
312212120211111121
411001200000200
5133033414303
612210222024
72042235220
oct501400040
9185524447
1084279328
1143634341
1224284914
13145cb133
14b29c080
1575eb9bd
hex5060020

84279328 has 96 divisors (see below), whose sum is σ = 200309760. Its totient is φ = 34145280.

The previous prime is 84279311. The next prime is 84279331. The reversal of 84279328 is 82397248.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367918 + ... + 368146.

It is an arithmetic number, because the mean of its divisors is an integer number (2086560).

Almost surely, 284279328 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 84279328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100154880).

84279328 is an abundant number, since it is smaller than the sum of its proper divisors (116030432).

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

84279328 is a wasteful number, since it uses less digits than its factorization.

84279328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 322 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The square root of 84279328 is about 9180.3773342930. The cubic root of 84279328 is about 438.4368222574.

The spelling of 84279328 in words is "eighty-four million, two hundred seventy-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 53 56 62 106 112 124 212 217 224 229 248 371 424 434 458 496 742 848 868 916 992 1484 1603 1643 1696 1736 1832 2968 3206 3286 3472 3664 5936 6412 6572 6944 7099 7328 11501 11872 12137 12824 13144 14198 23002 24274 25648 26288 28396 46004 48548 49693 51296 52576 56792 84959 92008 97096 99386 113584 169918 184016 194192 198772 227168 339836 368032 376247 388384 397544 679672 752494 795088 1359344 1504988 1590176 2633729 2718688 3009976 5267458 6019952 10534916 12039904 21069832 42139664 84279328