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2485324800 = 210325272367
BaseRepresentation
bin1001010000100011…
…0000110000000000
320102012120120200200
42110020300300000
520042220343200
61050341045200
7115405624620
oct22410606000
96365516620
102485324800
1110659a0342
125943b6800
13307b918ba
14198110880
15e82cc800
hex94230c00

2485324800 has 792 divisors, whose sum is σ = 10770429696. Its totient is φ = 535265280.

The previous prime is 2485324799. The next prime is 2485324819. The reversal of 2485324800 is 84235842.

2485324800 is a `hidden beast` number, since 2 + 48 + 532 + 4 + 80 + 0 = 666.

It is a super-2 number, since 2×24853248002 = 12353678722990080000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37094367 + ... + 37094433.

Almost surely, 22485324800 is an apocalyptic number.

2485324800 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 2485324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5385214848).

2485324800 is an abundant number, since it is smaller than the sum of its proper divisors (8285104896).

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

2485324800 is a wasteful number, since it uses less digits than its factorization.

2485324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

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

The square root of 2485324800 is about 49853.0320040818. The cubic root of 2485324800 is about 1354.5479535820.

The spelling of 2485324800 in words is "two billion, four hundred eighty-five million, three hundred twenty-four thousand, eight hundred".