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483645960 = 233257281683
BaseRepresentation
bin11100110100111…
…101101000001000
31020201001202112100
4130310331220020
51442303132320
6115554113400
714661631350
oct3464755010
91221052470
10483645960
11229007406
12115b7b860
137927a355
1448339b60
152c6d7790
hex1cd3da08

483645960 has 192 divisors, whose sum is σ = 1805431680. Its totient is φ = 109992960.

The previous prime is 483645947. The next prime is 483645961. The reversal of 483645960 is 69546384.

483645960 is a `hidden beast` number, since 483 + 64 + 59 + 60 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (483645961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 707779 + ... + 708461.

It is an arithmetic number, because the mean of its divisors is an integer number (9403290).

Almost surely, 2483645960 is an apocalyptic number.

483645960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 483645960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902715840).

483645960 is an abundant number, since it is smaller than the sum of its proper divisors (1321785720).

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

483645960 is a wasteful number, since it uses less digits than its factorization.

483645960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 483645960 is about 21991.9521643714. The cubic root of 483645960 is about 784.9509537020.

The spelling of 483645960 in words is "four hundred eighty-three million, six hundred forty-five thousand, nine hundred sixty".