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483970560 = 2935294153
BaseRepresentation
bin11100110110001…
…100111000000000
31020201200020210120
4130312030320000
51442344024220
6120005100240
714664452613
oct3466147000
91221606716
10483970560
11229209277
121160b7680
1379362018
14483c217a
152c74da40
hex1cd8ce00

483970560 has 320 divisors, whose sum is σ = 1670518080. Its totient is φ = 119275520.

The previous prime is 483970549. The next prime is 483970561. The reversal of 483970560 is 65079384.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483970561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9131494 + ... + 9131546.

It is an arithmetic number, because the mean of its divisors is an integer number (5220369).

Almost surely, 2483970560 is an apocalyptic number.

483970560 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 483970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835259040).

483970560 is an abundant number, since it is smaller than the sum of its proper divisors (1186547520).

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

483970560 is a wasteful number, since it uses less digits than its factorization.

483970560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 483970560 is about 21999.3308989160. The cubic root of 483970560 is about 785.1265215897.

The spelling of 483970560 in words is "four hundred eighty-three million, nine hundred seventy thousand, five hundred sixty".