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2482430976 = 210341732
BaseRepresentation
bin1001001111110110…
…1110010000000000
320102000010120010000
42103331232100000
520041000242401
61050155040000
7115342213044
oct22375562000
96360116100
102482430976
1110642a4153
12593440000
133073ba68c
1419799a024
15e7e0a186
hex93f6e400

2482430976 has 165 divisors, whose sum is σ = 7456121761. Its totient is φ = 822693888.

The previous prime is 2482430957. The next prime is 2482431019. The reversal of 2482430976 is 6790342842.

The square root of 2482430976 is 49824.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2258150400 + 224280576 = 47520^2 + 14976^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 14349226 + ... + 14349398.

Almost surely, 22482430976 is an apocalyptic number.

2482430976 is the 49824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2482430976

2482430976 is an abundant number, since it is smaller than the sum of its proper divisors (4973690785).

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

2482430976 is an frugal number, since it uses more digits than its factorization.

2482430976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The cubic root of 2482430976 is about 1354.0220202137.

The spelling of 2482430976 in words is "two billion, four hundred eighty-two million, four hundred thirty thousand, nine hundred seventy-six".