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52999920 = 243458179
BaseRepresentation
bin1100101000101…
…1011011110000
310200201200020000
43022023123300
5102031444140
65131550000
71212330501
oct312133360
9120650200
1052999920
1127a0a696
12158bb300
13ac989cc
147078ba8
1549bda30
hex328b6f0

52999920 has 100 divisors (see below), whose sum is σ = 184099080. Its totient is φ = 14131584.

The previous prime is 52999883. The next prime is 52999937. The reversal of 52999920 is 2999925.

52999920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2391 + ... + 10569.

Almost surely, 252999920 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 52999920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92049540).

52999920 is an abundant number, since it is smaller than the sum of its proper divisors (131099160).

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

52999920 is a wasteful number, since it uses less digits than its factorization.

52999920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8204 (or 8189 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 52999920 is about 7280.1043948559. The cubic root of 52999920 is about 375.6283864265.

The spelling of 52999920 in words is "fifty-two million, nine hundred ninety-nine 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 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 8179 16358 24537 32716 40895 49074 65432 73611 81790 98148 122685 130864 147222 163580 196296 220833 245370 294444 327160 368055 392592 441666 490740 588888 654320 662499 736110 883332 981480 1104165 1177776 1324998 1472220 1766664 1962960 2208330 2649996 2944440 3312495 3533328 4416660 5299992 5888880 6624990 8833320 10599984 13249980 17666640 26499960 52999920