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53344704 = 2637192089
BaseRepresentation
bin1100101101111…
…1100111000000
310201101012011210
43023133213000
5102124012304
65143210120
71215264630
oct313374700
9121335153
1053344704
1128125736
1215a46940
13b08991a
1471286c0
154a3ac89
hex32df9c0

53344704 has 112 divisors (see below), whose sum is σ = 169875200. Its totient is φ = 14432256.

The previous prime is 53344703. The next prime is 53344721. The reversal of 53344704 is 40744335.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53344703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24492 + ... + 26580.

Almost surely, 253344704 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 53344704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84937600).

53344704 is an abundant number, since it is smaller than the sum of its proper divisors (116530496).

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

53344704 is a wasteful number, since it uses less digits than its factorization.

53344704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 53344704 is about 7303.7458882412. The cubic root of 53344704 is about 376.4411601691.

The spelling of 53344704 in words is "fifty-three million, three hundred forty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 912 1064 1216 1344 1596 1824 2089 2128 3192 3648 4178 4256 6267 6384 8356 8512 12534 12768 14623 16712 25068 25536 29246 33424 39691 43869 50136 58492 66848 79382 87738 100272 116984 119073 133696 158764 175476 200544 233968 238146 277837 317528 350952 401088 467936 476292 555674 635056 701904 833511 935872 952584 1111348 1270112 1403808 1667022 1905168 2222696 2540224 2807616 3334044 3810336 4445392 6668088 7620672 8890784 13336176 17781568 26672352 53344704