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52351920 = 243552693
BaseRepresentation
bin1100011110110…
…1001110110000
310122111202100000
43013231032300
5101400230140
65110030000
71203661335
oct307551660
9118452300
1052351920
1127607855
1215648300
13aacca8a
146d4a98c
1548e1a30
hex31ed3b0

52351920 has 120 divisors (see below), whose sum is σ = 182394576. Its totient is φ = 13955328.

The previous prime is 52351909. The next prime is 52352017. The reversal of 52351920 is 2915325.

52351920 is a `hidden beast` number, since 523 + 51 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18094 + ... + 20786.

Almost surely, 252351920 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 52351920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91197288).

52351920 is an abundant number, since it is smaller than the sum of its proper divisors (130042656).

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

52351920 is a wasteful number, since it uses less digits than its factorization.

52351920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2721 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 52351920 is about 7235.4626666164. The cubic root of 52351920 is about 374.0912395240.

The spelling of 52351920 in words is "fifty-two million, three hundred fifty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 2693 3240 3888 4860 5386 6480 8079 9720 10772 13465 16158 19440 21544 24237 26930 32316 40395 43088 48474 53860 64632 72711 80790 96948 107720 121185 129264 145422 161580 193896 215440 218133 242370 290844 323160 363555 387792 436266 484740 581688 646320 654399 727110 872532 969480 1090665 1163376 1308798 1454220 1745064 1938960 2181330 2617596 2908440 3271995 3490128 4362660 5235192 5816880 6543990 8725320 10470384 13087980 17450640 26175960 52351920