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53608768 = 262379461
BaseRepresentation
bin1100110010000…
…0000101000000
310201212121101221
43030200011000
5102210440033
65153004424
71220444533
oct314400500
9121777357
1053608768
1128296074
1215b53714
13b14cb85
147196a1a
154a8e12d
hex3320140

53608768 has 56 divisors (see below), whose sum is σ = 112654080. Its totient is φ = 25259520.

The previous prime is 53608739. The next prime is 53608781. The reversal of 53608768 is 86780635.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116058 + ... + 116518.

It is an arithmetic number, because the mean of its divisors is an integer number (2011680).

Almost surely, 253608768 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 53608768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56327040).

53608768 is an abundant number, since it is smaller than the sum of its proper divisors (59045312).

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

53608768 is a wasteful number, since it uses less digits than its factorization.

53608768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 53608768 is about 7321.8008713704. The cubic root of 53608768 is about 377.0612841199.

The spelling of 53608768 in words is "fifty-three million, six hundred eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 79 92 158 184 316 368 461 632 736 922 1264 1472 1817 1844 2528 3634 3688 5056 7268 7376 10603 14536 14752 21206 29072 29504 36419 42412 58144 72838 84824 116288 145676 169648 291352 339296 582704 678592 837637 1165408 1675274 2330816 3350548 6701096 13402192 26804384 53608768