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2452500768 = 2532931157181
BaseRepresentation
bin1001001000101110…
…0011000100100000
320022220210221120210
42102023203010200
520010320011033
61043205334120
7114526625004
oct22213430440
96286727523
102452500768
111049411143
12585407340
1330113b3b3
14193a08704
15e5496d63
hex922e3120

2452500768 has 192 divisors, whose sum is σ = 6956651520. Its totient is φ = 754790400.

The previous prime is 2452500751. The next prime is 2452500779. The reversal of 2452500768 is 8670052542.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13549638 + ... + 13549818.

It is an arithmetic number, because the mean of its divisors is an integer number (36232560).

Almost surely, 22452500768 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 2452500768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3478325760).

2452500768 is an abundant number, since it is smaller than the sum of its proper divisors (4504150752).

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

2452500768 is a wasteful number, since it uses less digits than its factorization.

2452500768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 2452500768 is about 49522.7298116733. The cubic root of 2452500768 is about 1348.5582721080.

The spelling of 2452500768 in words is "two billion, four hundred fifty-two million, five hundred thousand, seven hundred sixty-eight".