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52854984 = 23337132689
BaseRepresentation
bin1100100110100…
…0000011001000
310200110022102000
43021220003020
5102012324414
65124511000
71211155110
oct311500310
9120408360
1052854984
1127920806
121584b460
13ac47a50
14703c040
154990b09
hex32680c8

52854984 has 128 divisors (see below), whose sum is σ = 180768000. Its totient is φ = 13934592.

The previous prime is 52854953. The next prime is 52855007. The reversal of 52854984 is 48945825.

52854984 is a `hidden beast` number, since 5 + 28 + 549 + 84 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18312 + ... + 21000.

It is an arithmetic number, because the mean of its divisors is an integer number (1412250).

Almost surely, 252854984 is an apocalyptic number.

52854984 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 52854984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90384000).

52854984 is an abundant number, since it is smaller than the sum of its proper divisors (127913016).

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

52854984 is a wasteful number, since it uses less digits than its factorization.

52854984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2714 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 52854984 is about 7270.1433273354. The cubic root of 52854984 is about 375.2856703246.

The spelling of 52854984 in words is "fifty-two million, eight hundred fifty-four thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2689 2808 3276 4914 5378 6552 8067 9828 10756 16134 18823 19656 21512 24201 32268 34957 37646 48402 56469 64536 69914 72603 75292 96804 104871 112938 139828 145206 150584 169407 193608 209742 225876 244699 279656 290412 314613 338814 419484 451752 489398 508221 580824 629226 677628 734097 838968 943839 978796 1016442 1258452 1355256 1468194 1887678 1957592 2032884 2202291 2516904 2936388 3775356 4065768 4404582 5872776 6606873 7550712 8809164 13213746 17618328 26427492 52854984