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52406820 = 22325359811
BaseRepresentation
bin1100011111101…
…0101000100100
310122121112122100
43013322220210
5101404004240
65111132100
71204310364
oct307725044
9118545570
1052406820
1127645024
1215674030
13ab1ba6b
146d629a4
154902e30
hex31faa24

52406820 has 72 divisors (see below), whose sum is σ = 159606720. Its totient is φ = 13919040.

The previous prime is 52406819. The next prime is 52406863. The reversal of 52406820 is 2860425.

52406820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 64215 + ... + 65025.

It is an arithmetic number, because the mean of its divisors is an integer number (2216760).

Almost surely, 252406820 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 52406820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79803360).

52406820 is an abundant number, since it is smaller than the sum of its proper divisors (107199900).

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

52406820 is a wasteful number, since it uses less digits than its factorization.

52406820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 52406820 is about 7239.2554865815. The cubic root of 52406820 is about 374.2219601939.

The spelling of 52406820 in words is "fifty-two million, four hundred six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 359 718 811 1077 1436 1622 1795 2154 2433 3231 3244 3590 4055 4308 4866 5385 6462 7180 7299 8110 9732 10770 12165 12924 14598 16155 16220 21540 24330 29196 32310 36495 48660 64620 72990 145980 291149 582298 873447 1164596 1455745 1746894 2620341 2911490 3493788 4367235 5240682 5822980 8734470 10481364 13101705 17468940 26203410 52406820