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52179984 = 243343532
BaseRepresentation
bin1100011100001…
…1010000010000
310122012000111000
43013003100100
5101324224414
65102222000
71202344143
oct307032020
9118160430
1052179984
11274aa65a
1215584900
13aa6c73c
146d0405a
1548aab09
hex31c3410

52179984 has 120 divisors (see below), whose sum is σ = 156205280. Its totient is φ = 16668288.

The previous prime is 52179983. The next prime is 52179997. The reversal of 52179984 is 48997125.

It is not an unprimeable number, because it can be changed into a prime (52179983) 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, 984502 + ... + 984554.

Almost surely, 252179984 is an apocalyptic number.

52179984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52179984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78102640).

52179984 is an abundant number, since it is smaller than the sum of its proper divisors (104025296).

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

52179984 is a wasteful number, since it uses less digits than its factorization.

52179984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 101 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 52179984 is about 7223.5714158579. The cubic root of 52179984 is about 373.6812558734.

The spelling of 52179984 in words is "fifty-two million, one hundred seventy-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 53 54 72 86 106 108 129 144 159 172 212 216 258 318 344 387 424 432 477 516 636 688 774 848 954 1032 1161 1272 1431 1548 1908 2064 2279 2322 2544 2809 2862 3096 3816 4558 4644 5618 5724 6192 6837 7632 8427 9116 9288 11236 11448 13674 16854 18232 18576 20511 22472 22896 25281 27348 33708 36464 41022 44944 50562 54696 61533 67416 75843 82044 101124 109392 120787 123066 134832 151686 164088 202248 241574 246132 303372 328176 362361 404496 483148 492264 606744 724722 966296 984528 1087083 1213488 1449444 1932592 2174166 2898888 3261249 4348332 5797776 6522498 8696664 13044996 17393328 26089992 52179984