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53538816 = 21234357
BaseRepresentation
bin1100110000111…
…1000000000000
310201202001110010
43030033000000
5102201220231
65151304520
71220033562
oct314170000
9121661403
1053538816
1128248561
1215b1b140
13b127096
147179332
154a78546
hex330f000

53538816 has 52 divisors (see below), whose sum is σ = 142785512. Its totient is φ = 17842176.

The previous prime is 53538803. The next prime is 53538833. The reversal of 53538816 is 61883535.

It is a zygodrome in base 2.

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, 10110 + ... + 14466.

Almost surely, 253538816 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 53538816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71392756).

53538816 is an abundant number, since it is smaller than the sum of its proper divisors (89246696).

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

53538816 is an equidigital number, since it uses as much as digits as its factorization.

53538816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4384 (or 4362 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 53538816 is about 7317.0223451893. The cubic root of 53538816 is about 376.8972085238.

The spelling of 53538816 in words is "fifty-three million, five hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 4357 6144 8714 12288 13071 17428 26142 34856 52284 69712 104568 139424 209136 278848 418272 557696 836544 1115392 1673088 2230784 3346176 4461568 6692352 8923136 13384704 17846272 26769408 53538816