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2480528232 = 2333713971301
BaseRepresentation
bin1001001111011001…
…1101101101101000
320101212112220001000
42103312131231220
520040003400412
61050050155000
7115320066510
oct22366355550
96355486030
102480528232
111063214636
12592882a60
13306ba25b0
14197622840
15e7b814dc
hex93d9db68

2480528232 has 256 divisors, whose sum is σ = 8574451200. Its totient is φ = 646963200.

The previous prime is 2480528231. The next prime is 2480528257. The reversal of 2480528232 is 2328250842.

2480528232 is a `hidden beast` number, since 24 + 80 + 528 + 2 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2480528231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1905982 + ... + 1907282.

It is an arithmetic number, because the mean of its divisors is an integer number (33493950).

Almost surely, 22480528232 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 2480528232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4287225600).

2480528232 is an abundant number, since it is smaller than the sum of its proper divisors (6093922968).

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

2480528232 is a wasteful number, since it uses less digits than its factorization.

2480528232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2480528232 is about 49804.9016864806. The cubic root of 2480528232 is about 1353.6759863158.

The spelling of 2480528232 in words is "two billion, four hundred eighty million, five hundred twenty-eight thousand, two hundred thirty-two".