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53520768 = 273276637
BaseRepresentation
bin1100110000101…
…0100110000000
310201201010200200
43030022212000
5102200131033
65151045200
71216630140
oct314124600
9121633620
1053520768
1128235a44
1215b10800
13b11bac2
147172920
154a73013
hex330a980

53520768 has 96 divisors (see below), whose sum is σ = 176039760. Its totient is φ = 15289344.

The previous prime is 53520751. The next prime is 53520769. The reversal of 53520768 is 86702535.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53520769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4746 + ... + 11382.

Almost surely, 253520768 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 53520768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88019880).

53520768 is an abundant number, since it is smaller than the sum of its proper divisors (122518992).

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

53520768 is a wasteful number, since it uses less digits than its factorization.

53520768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6664 (or 6649 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 53520768 is about 7315.7889526694. The cubic root of 53520768 is about 376.8548529283.

The spelling of 53520768 in words is "fifty-three million, five hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 6637 8064 13274 19911 26548 39822 46459 53096 59733 79644 92918 106192 119466 139377 159288 185836 212384 238932 278754 318576 371672 418131 424768 477864 557508 637152 743344 836262 849536 955728 1115016 1274304 1486688 1672524 1911456 2230032 2548608 2973376 3345048 3822912 4460064 5946752 6690096 7645824 8920128 13380192 17840256 26760384 53520768