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53396480 = 210510429
BaseRepresentation
bin1100101110110…
…0010000000000
310201110211012102
43023230100000
5102132141410
65144245532
71215601604
oct313542000
9121424172
1053396480
1128160625
1215a708a8
13b0a7367
14713d504
154a4b2a5
hex32ec400

53396480 has 44 divisors (see below), whose sum is σ = 128101260. Its totient is φ = 21356544.

The previous prime is 53396471. The next prime is 53396491. The reversal of 53396480 is 8469335.

It can be written as a sum of positive squares in 2 ways, for example, as 40551424 + 12845056 = 6368^2 + 3584^2 .

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, 95 + ... + 10334.

Almost surely, 253396480 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 53396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64050630).

53396480 is an abundant number, since it is smaller than the sum of its proper divisors (74704780).

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

53396480 is a wasteful number, since it uses less digits than its factorization.

53396480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10454 (or 10436 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 53396480 is about 7307.2895111662. The cubic root of 53396480 is about 376.5629111811.

The spelling of 53396480 in words is "fifty-three million, three hundred ninety-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 10429 20858 41716 52145 83432 104290 166864 208580 333728 417160 667456 834320 1334912 1668640 2669824 3337280 5339648 6674560 10679296 13349120 26698240 53396480