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52095456 = 2532725841
BaseRepresentation
bin1100011010111…
…0100111100000
310122000201112100
43012232213200
5101314023311
65100330400
71201542540
oct306564740
9118021470
1052095456
11274520a6
1215543a00
13aa4011a
146cc1320
154890a56
hex31ae9e0

52095456 has 72 divisors (see below), whose sum is σ = 169316784. Its totient is φ = 14883840.

The previous prime is 52095451. The next prime is 52095467. The reversal of 52095456 is 65459025.

52095456 is a `hidden beast` number, since 520 + 95 + 45 + 6 = 666.

52095456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 52095456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52095451) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10905 + ... + 14936.

It is an arithmetic number, because the mean of its divisors is an integer number (2351622).

Almost surely, 252095456 is an apocalyptic number.

52095456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

52095456 is an abundant number, since it is smaller than the sum of its proper divisors (117221328).

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

52095456 is a wasteful number, since it uses less digits than its factorization.

52095456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25864 (or 25853 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 52095456 is about 7217.7181989878. The cubic root of 52095456 is about 373.4793674726.

The spelling of 52095456 in words is "fifty-two million, ninety-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 25841 51682 77523 103364 155046 180887 206728 232569 310092 361774 413456 465138 542661 620184 723548 826912 930276 1085322 1240368 1447096 1627983 1860552 2170644 2480736 2894192 3255966 3721104 4341288 5788384 6511932 7442208 8682576 13023864 17365152 26047728 52095456