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52822080 = 2632518341
BaseRepresentation
bin1100100110000…
…0000001000000
310200101122021100
43021200001000
5102010301310
65124054400
71210660143
oct311400100
9120348240
1052822080
11278a9013
1215834400
13ac35a8c
14703005a
154985ec0
hex3260040

52822080 has 84 divisors (see below), whose sum is σ = 181695852. Its totient is φ = 14085120.

The previous prime is 52822069. The next prime is 52822087. The reversal of 52822080 is 8022825.

It can be written as a sum of positive squares in 2 ways, for example, as 11451456 + 41370624 = 3384^2 + 6432^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52822087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6291 + ... + 12050.

Almost surely, 252822080 is an apocalyptic number.

It is an amenable number.

52822080 is an abundant number, since it is smaller than the sum of its proper divisors (128873772).

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

52822080 is a wasteful number, since it uses less digits than its factorization.

52822080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18364 (or 18351 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 52822080 is about 7267.8800210240. The cubic root of 52822080 is about 375.2077781873.

The spelling of 52822080 in words is "fifty-two million, eight hundred twenty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 18341 36682 55023 73364 91705 110046 146728 165069 183410 220092 275115 293456 330138 366820 440184 550230 586912 660276 733640 825345 880368 1100460 1173824 1320552 1467280 1650690 1760736 2200920 2641104 2934560 3301380 3521472 4401840 5282208 5869120 6602760 8803680 10564416 13205520 17607360 26411040 52822080