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53514656 = 2513197653
BaseRepresentation
bin1100110000100…
…1000110100000
310201200211022022
43030021012200
5102144432111
65151001012
71216603256
oct314110640
9121624268
1053514656
1128231398
1215b09168
13b1190a0
1471705d6
154a712db
hex33091a0

53514656 has 48 divisors (see below), whose sum is σ = 114211944. Its totient is φ = 24536064.

The previous prime is 53514647. The next prime is 53514667. The reversal of 53514656 is 65641535.

It can be written as a sum of positive squares in 4 ways, for example, as 45104656 + 8410000 = 6716^2 + 2900^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81626 + ... + 82278.

Almost surely, 253514656 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 53514656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57105972).

53514656 is an abundant number, since it is smaller than the sum of its proper divisors (60697288).

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

53514656 is a wasteful number, since it uses less digits than its factorization.

53514656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 865 counting only the distinct ones).

The product of its digits is 54000, while the sum is 35.

The square root of 53514656 is about 7315.3712140943. The cubic root of 53514656 is about 376.8405069424.

The spelling of 53514656 in words is "fifty-three million, five hundred fourteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 197 208 394 416 653 788 1306 1576 2561 2612 3152 5122 5224 6304 8489 10244 10448 16978 20488 20896 33956 40976 67912 81952 128641 135824 257282 271648 514564 1029128 1672333 2058256 3344666 4116512 6689332 13378664 26757328 53514656