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2520893232 = 2433111324373
BaseRepresentation
bin1001011001000001…
…1100011100110000
320111200111122102000
42112100130130300
520130322040412
61054051254000
7116320144644
oct22620343460
96450448360
102520893232
111083a84440
125a42aa300
13312366300
1419cb2cc24
15eb4a64dc
hex9641c730

2520893232 has 480 divisors, whose sum is σ = 8866218240. Its totient is φ = 679311360.

The previous prime is 2520893203. The next prime is 2520893257. The reversal of 2520893232 is 2323980252.

2520893232 is a `hidden beast` number, since 252 + 0 + 89 + 323 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34532748 + ... + 34532820.

It is an arithmetic number, because the mean of its divisors is an integer number (18471288).

Almost surely, 22520893232 is an apocalyptic number.

2520893232 is a gapful number since it is divisible by the number (22) 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 2520893232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4433109120).

2520893232 is an abundant number, since it is smaller than the sum of its proper divisors (6345325008).

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

2520893232 is a wasteful number, since it uses less digits than its factorization.

2520893232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2520893232 is about 50208.4976074768. The cubic root of 2520893232 is about 1360.9791881342.

The spelling of 2520893232 in words is "two billion, five hundred twenty million, eight hundred ninety-three thousand, two hundred thirty-two".