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53474816 = 291923239
BaseRepresentation
bin1100101111111…
…1011000000000
310201121210122202
43023333120000
5102142143231
65150052332
71216346153
oct313773000
9121553582
1053474816
112820446a
1215aaa0a8
13b103c05
14715dc9a
154a645cb
hex32ff600

53474816 has 80 divisors (see below), whose sum is σ = 117849600. Its totient is φ = 24127488.

The previous prime is 53474807. The next prime is 53474833. The reversal of 53474816 is 61847435.

53474816 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 (38).

It is a self number, because there is not a number n which added to its sum of digits gives 53474816.

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 7 ways as a sum of consecutive naturals, for example, 223625 + ... + 223863.

It is an arithmetic number, because the mean of its divisors is an integer number (1473120).

Almost surely, 253474816 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 53474816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58924800).

53474816 is an abundant number, since it is smaller than the sum of its proper divisors (64374784).

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

53474816 is a wasteful number, since it uses less digits than its factorization.

53474816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 283 counting only the distinct ones).

The product of its digits is 80640, while the sum is 38.

The square root of 53474816 is about 7312.6476737226. The cubic root of 53474816 is about 376.7469683736.

The spelling of 53474816 in words is "fifty-three million, four hundred seventy-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 239 256 304 368 437 478 512 608 736 874 956 1216 1472 1748 1912 2432 2944 3496 3824 4541 4864 5497 5888 6992 7648 9082 9728 10994 11776 13984 15296 18164 21988 27968 30592 36328 43976 55936 61184 72656 87952 104443 111872 122368 145312 175904 208886 223744 290624 351808 417772 581248 703616 835544 1162496 1407232 1671088 2324992 2814464 3342176 6684352 13368704 26737408 53474816