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2425848480 = 253351171719
BaseRepresentation
bin1001000010010111…
…1000001010100000
320021001122212112000
42100211320022200
514432004122410
61040414204000
7114054241356
oct22045701240
96231585460
102425848480
111035367960
125784b3600
132c8769103
1419026b7d6
15e2e7edc0
hex909782a0

2425848480 has 384 divisors, whose sum is σ = 9405849600. Its totient is φ = 578995200.

The previous prime is 2425848421. The next prime is 2425848499. The reversal of 2425848480 is 848485242.

2425848480 is a `hidden beast` number, since 2 + 42 + 58 + 484 + 80 = 666.

It is a super-3 number, since 3×24258484803 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 3373561 + ... + 3374279.

It is an arithmetic number, because the mean of its divisors is an integer number (24494400).

Almost surely, 22425848480 is an apocalyptic number.

2425848480 is a gapful number since it is divisible by the number (20) 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 2425848480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702924800).

2425848480 is an abundant number, since it is smaller than the sum of its proper divisors (6980001120).

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

2425848480 is a wasteful number, since it uses less digits than its factorization.

2425848480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The square root of 2425848480 is about 49252.9032646808. The cubic root of 2425848480 is about 1343.6553644404.

The spelling of 2425848480 in words is "two billion, four hundred twenty-five million, eight hundred forty-eight thousand, four hundred eighty".