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482827120 = 24513014639
BaseRepresentation
bin11100110001110…
…101101101110000
31020122112011021221
4130301311231300
51442100431440
6115524354424
714651651146
oct3461655560
91218464257
10482827120
112285a8186
12115845a14
1379051729
14481a5596
152c5c4d4a
hex1cc75b70

482827120 has 40 divisors (see below), whose sum is σ = 1123678080. Its totient is φ = 192940800.

The previous prime is 482827117. The next prime is 482827129. The reversal of 482827120 is 21728284.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (34) 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 (482827129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101761 + ... + 106399.

It is an arithmetic number, because the mean of its divisors is an integer number (28091952).

Almost surely, 2482827120 is an apocalyptic number.

482827120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

482827120 is an abundant number, since it is smaller than the sum of its proper divisors (640850960).

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

482827120 is a wasteful number, since it uses less digits than its factorization.

482827120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5953 (or 5947 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 482827120 is about 21973.3274676368. The cubic root of 482827120 is about 784.5077146590.

The spelling of 482827120 in words is "four hundred eighty-two million, eight hundred twenty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1301 2602 4639 5204 6505 9278 10408 13010 18556 20816 23195 26020 37112 46390 52040 74224 92780 104080 185560 371120 6035339 12070678 24141356 30176695 48282712 60353390 96565424 120706780 241413560 482827120