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53446944 = 2533741367
BaseRepresentation
bin1100101111100…
…0100100100000
310201120101102110
43023320210200
5102140300234
65145315320
71216201665
oct313704440
9121511373
1053446944
1128195531
1215a95b40
13b0c4315
147153a6c
154a5b1e9
hex32f8920

53446944 has 96 divisors (see below), whose sum is σ = 148006656. Its totient is φ = 16865280.

The previous prime is 53446931. The next prime is 53446961. The reversal of 53446944 is 44964435.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145449 + ... + 145815.

It is an arithmetic number, because the mean of its divisors is an integer number (1541736).

Almost surely, 253446944 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 53446944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74003328).

53446944 is an abundant number, since it is smaller than the sum of its proper divisors (94559712).

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

53446944 is a wasteful number, since it uses less digits than its factorization.

53446944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 450 counting only the distinct ones).

The product of its digits is 207360, while the sum is 39.

The square root of 53446944 is about 7310.7416860398. The cubic root of 53446944 is about 376.6815013171.

The spelling of 53446944 in words is "fifty-three million, four hundred forty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 41 48 74 82 96 111 123 148 164 222 246 296 328 367 444 492 592 656 734 888 984 1101 1184 1312 1468 1517 1776 1968 2202 2936 3034 3552 3936 4404 4551 5872 6068 8808 9102 11744 12136 13579 15047 17616 18204 24272 27158 30094 35232 36408 40737 45141 48544 54316 60188 72816 81474 90282 108632 120376 145632 162948 180564 217264 240752 325896 361128 434528 481504 556739 651792 722256 1113478 1303584 1444512 1670217 2226956 3340434 4453912 6680868 8907824 13361736 17815648 26723472 53446944