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53872768 = 27894729
BaseRepresentation
bin1100110110000…
…0100010000000
310202101000112201
43031200202000
5102242412033
65202402544
71222624315
oct315404200
9122330481
1053872768
1128456454
1216060454
13b2130a1
147224d0c
154ae247d
hex3360880

53872768 has 32 divisors (see below), whose sum is σ = 108553500. Its totient is φ = 26628096.

The previous prime is 53872747. The next prime is 53872769. The reversal of 53872768 is 86727835.

It can be written as a sum of positive squares in 2 ways, for example, as 42094144 + 11778624 = 6488^2 + 3432^2 .

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

It is not an unprimeable number, because it can be changed into a prime (53872769) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9028 + ... + 13756.

Almost surely, 253872768 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 53872768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54276750).

53872768 is an abundant number, since it is smaller than the sum of its proper divisors (54680732).

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

53872768 is an equidigital number, since it uses as much as digits as its factorization.

53872768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4832 (or 4820 counting only the distinct ones).

The product of its digits is 564480, while the sum is 46.

The square root of 53872768 is about 7339.8070819334. The cubic root of 53872768 is about 377.6792254523.

The spelling of 53872768 in words is "fifty-three million, eight hundred seventy-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 89 128 178 356 712 1424 2848 4729 5696 9458 11392 18916 37832 75664 151328 302656 420881 605312 841762 1683524 3367048 6734096 13468192 26936384 53872768