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52820400 = 2435244017
BaseRepresentation
bin1100100101111…
…1100110110000
310200101112222010
43021133212300
5102010223100
65124042520
71210652223
oct311374660
9120345863
1052820400
11278a7826
1215833440
13ac35099
14702d5ba
154985750
hex325f9b0

52820400 has 60 divisors (see below), whose sum is σ = 169205192. Its totient is φ = 14085120.

The previous prime is 52820393. The next prime is 52820447. The reversal of 52820400 is 402825.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20809 + ... + 23208.

Almost surely, 252820400 is an apocalyptic number.

52820400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52820400 is an abundant number, since it is smaller than the sum of its proper divisors (116384792).

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

52820400 is a wasteful number, since it uses less digits than its factorization.

52820400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44038 (or 44027 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 52820400 is about 7267.7644430733. The cubic root of 52820400 is about 375.2038003322.

The spelling of 52820400 in words is "fifty-two million, eight hundred twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 44017 88034 132051 176068 220085 264102 352136 440170 528204 660255 704272 880340 1056408 1100425 1320510 1760680 2112816 2200850 2641020 3301275 3521360 4401700 5282040 6602550 8803400 10564080 13205100 17606800 26410200 52820400