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2780280825 = 352732337127
BaseRepresentation
bin1010010110110111…
…1011011111111001
321011202120220021220
42211231323133321
521143222441300
61135515022253
7125616666000
oct24555733771
97152526256
102780280825
1111a743a153
1265713a989
133540148aa
141c536dc37
15114141da0
hexa5b7b7f9

2780280825 has 192 divisors, whose sum is σ = 5790105600. Its totient is φ = 1173553920.

The previous prime is 2780280823. The next prime is 2780280851. The reversal of 2780280825 is 5280820872.

It is not a de Polignac number, because 2780280825 - 21 = 2780280823 is a prime.

It is a super-2 number, since 2×27802808252 = 15459922931725361250, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2780280823) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21891912 + ... + 21892038.

It is an arithmetic number, because the mean of its divisors is an integer number (30156800).

Almost surely, 22780280825 is an apocalyptic number.

2780280825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2780280825 is an abundant number, since it is smaller than the sum of its proper divisors (3009824775).

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

2780280825 is a wasteful number, since it uses less digits than its factorization.

2780280825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 2780280825 is about 52728.3683134610. The cubic root of 2780280825 is about 1406.1432124342.

The spelling of 2780280825 in words is "two billion, seven hundred eighty million, two hundred eighty thousand, eight hundred twenty-five".