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2482274304 = 2153219443
BaseRepresentation
bin1001001111110100…
…1000000000000000
320101222211121012100
42103331020000000
520040430234204
61050151430400
7115340661216
oct22375100000
96358747170
102482274304
1110641a7474
12593385400
13307364283
14197958cb6
15e7dc8a39
hex93f48000

2482274304 has 192 divisors, whose sum is σ = 7565360400. Its totient is φ = 782106624.

The previous prime is 2482274303. The next prime is 2482274321. The reversal of 2482274304 is 4034722842.

2482274304 is a `hidden beast` number, since 2 + 4 + 82 + 274 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (2482274303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5603107 + ... + 5603549.

Almost surely, 22482274304 is an apocalyptic number.

2482274304 is a gapful number since it is divisible by the number (24) 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 2482274304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782680200).

2482274304 is an abundant number, since it is smaller than the sum of its proper divisors (5083086096).

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

2482274304 is an equidigital number, since it uses as much as digits as its factorization.

2482274304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 2482274304 is about 49822.4277208568. The cubic root of 2482274304 is about 1353.9935344535.

The spelling of 2482274304 in words is "two billion, four hundred eighty-two million, two hundred seventy-four thousand, three hundred four".