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2493265320 = 23335713231103
BaseRepresentation
bin1001010010011100…
…0011010110101000
320102202112000001000
42110213003112220
520101233442240
61051223155000
7115533256050
oct22447032650
96382460030
102493265320
11106a424157
12596ba5a60
13309711c30
141991ba560
15e8d4a430
hex949c35a8

2493265320 has 512 divisors, whose sum is σ = 10683187200. Its totient is φ = 502723584.

The previous prime is 2493265319. The next prime is 2493265349. The reversal of 2493265320 is 235623942.

It is a happy number.

2493265320 is a `hidden beast` number, since 2 + 4 + 9 + 326 + 5 + 320 = 666.

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 127 ways as a sum of consecutive naturals, for example, 2259889 + ... + 2260991.

It is an arithmetic number, because the mean of its divisors is an integer number (20865600).

Almost surely, 22493265320 is an apocalyptic number.

2493265320 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 2493265320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5341593600).

2493265320 is an abundant number, since it is smaller than the sum of its proper divisors (8189921880).

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

2493265320 is a wasteful number, since it uses less digits than its factorization.

2493265320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2493265320 is about 49932.6077828907. The cubic root of 2493265320 is about 1355.9889966998.

The spelling of 2493265320 in words is "two billion, four hundred ninety-three million, two hundred sixty-five thousand, three hundred twenty".