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2785419425 = 521571933677
BaseRepresentation
bin1010011000000110…
…0010000010100001
321012010020222010102
42212001202002201
521201031410200
61140221112145
7126011450225
oct24601420241
97163228112
102785419425
1111aa329928
126589b8655
133550c3799
141c5d0a785
151148096d5
hexa60620a1

2785419425 has 24 divisors (see below), whose sum is σ = 3494879736. Its totient is φ = 2202071040.

The previous prime is 2785419391. The next prime is 2785419431. The reversal of 2785419425 is 5249145872.

It can be written as a sum of positive squares in 12 ways, for example, as 932203024 + 1853216401 = 30532^2 + 43049^2 .

It is not a de Polignac number, because 2785419425 - 212 = 2785415329 is a prime.

It is a super-2 number, since 2×27854194252 = 15517122746334661250, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (806400) is a multiple of the sum of its prime divisors (4032).

It is a self number, because there is not a number n which added to its sum of digits gives 2785419425.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 755687 + ... + 759363.

It is an arithmetic number, because the mean of its divisors is an integer number (145619989).

Almost surely, 22785419425 is an apocalyptic number.

2785419425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2785419425 is a deficient number, since it is larger than the sum of its proper divisors (709460311).

2785419425 is a wasteful number, since it uses less digits than its factorization.

2785419425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4037 (or 4032 counting only the distinct ones).

The product of its digits is 806400, while the sum is 47.

The square root of 2785419425 is about 52777.0729104978. The cubic root of 2785419425 is about 1407.0089715669.

The spelling of 2785419425 in words is "two billion, seven hundred eighty-five million, four hundred nineteen thousand, four hundred twenty-five".

Divisors: 1 5 25 157 193 785 965 3677 3925 4825 18385 30301 91925 151505 577289 709661 757525 2886445 3548305 14432225 17741525 111416777 557083885 2785419425