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52054920 = 23335157307
BaseRepresentation
bin1100011010010…
…0101110001000
310121221122221000
43012210232020
5101311224140
65055415000
71201313421
oct306445610
9117848830
1052054920
11274246a5
1215524460
13aa27838
146cb0648
154883a30
hex31a4b88

52054920 has 128 divisors (see below), whose sum is σ = 175190400. Its totient is φ = 13747968.

The previous prime is 52054909. The next prime is 52054973. The reversal of 52054920 is 2945025.

52054920 is a `hidden beast` number, since 520 + 54 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169407 + ... + 169713.

It is an arithmetic number, because the mean of its divisors is an integer number (1368675).

Almost surely, 252054920 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 52054920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87595200).

52054920 is an abundant number, since it is smaller than the sum of its proper divisors (123135480).

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

52054920 is a wasteful number, since it uses less digits than its factorization.

52054920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 52054920 is about 7214.9095628428. The cubic root of 52054920 is about 373.3824729819.

Adding to 52054920 its reverse (2945025), we get a palindrome (54999945).

The spelling of 52054920 in words is "fifty-two million, fifty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 157 180 216 270 307 314 360 471 540 614 628 785 921 942 1080 1228 1256 1413 1535 1570 1842 1884 2355 2456 2763 2826 3070 3140 3684 3768 4239 4605 4710 5526 5652 6140 6280 7065 7368 8289 8478 9210 9420 11052 11304 12280 13815 14130 16578 16956 18420 18840 21195 22104 27630 28260 33156 33912 36840 41445 42390 48199 55260 56520 66312 82890 84780 96398 110520 144597 165780 169560 192796 240995 289194 331560 385592 433791 481990 578388 722985 867582 963980 1156776 1301373 1445970 1735164 1927960 2168955 2602746 2891940 3470328 4337910 5205492 5783880 6506865 8675820 10410984 13013730 17351640 26027460 52054920