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392382980 = 2251110117659
BaseRepresentation
bin10111011000110…
…100101000000100
31000100100010020222
4113120310220010
51300422223410
6102534043512
712503125463
oct2730645004
91010303228
10392382980
11191543160
12ab4a9598
13633a55a2
143a1809da
15246ab955
hex17634a04

392382980 has 48 divisors (see below), whose sum is σ = 907865280. Its totient is φ = 141264000.

The previous prime is 392382953. The next prime is 392382989. The reversal of 392382980 is 89283293.

392382980 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (392382989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13391 + ... + 31049.

It is an arithmetic number, because the mean of its divisors is an integer number (18913860).

Almost surely, 2392382980 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 392382980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453932640).

392382980 is an abundant number, since it is smaller than the sum of its proper divisors (515482300).

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

392382980 is a wasteful number, since it uses less digits than its factorization.

392382980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17780 (or 17778 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 392382980 is about 19808.6592176250. The cubic root of 392382980 is about 732.0994047173.

The spelling of 392382980 in words is "three hundred ninety-two million, three hundred eighty-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 17659 22220 35318 70636 88295 176590 194249 353180 388498 776996 971245 1783559 1942490 3567118 3884980 7134236 8917795 17835590 19619149 35671180 39238298 78476596 98095745 196191490 392382980