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53768576 = 27439769
BaseRepresentation
bin1100110100011…
…1000110000000
310202011201121202
43031013012000
5102231043301
65200240332
71222011461
oct315070600
9122151552
1053768576
1128395144
12160100a8
13b1a7834
1471d8d68
154ac166b
hex3347180

53768576 has 32 divisors (see below), whose sum is σ = 109619400. Its totient is φ = 26256384.

The previous prime is 53768563. The next prime is 53768597. The reversal of 53768576 is 67586735.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 53768576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 620 + ... + 10388.

Almost surely, 253768576 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 53768576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54809700).

53768576 is an abundant number, since it is smaller than the sum of its proper divisors (55850824).

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

53768576 is an equidigital number, since it uses as much as digits as its factorization.

53768576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9826 (or 9814 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 47.

The square root of 53768576 is about 7332.7059125537. The cubic root of 53768576 is about 377.4355862787.

The spelling of 53768576 in words is "fifty-three million, seven hundred sixty-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 344 688 1376 2752 5504 9769 19538 39076 78152 156304 312608 420067 625216 840134 1250432 1680268 3360536 6721072 13442144 26884288 53768576