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2785248672 = 25329013007
BaseRepresentation
bin1010011000000011…
…1000010110100000
321012002221021220020
42212000320112200
521201010424142
61140213313440
7126010136343
oct24600702640
97162837806
102785248672
1111aa222608
12658935880
13355063b4b
141c5ca445a
151147c3cec
hexa60385a0

2785248672 has 24 divisors (see below), whose sum is σ = 7311278016. Its totient is φ = 928416192.

The previous prime is 2785248671. The next prime is 2785248673. The reversal of 2785248672 is 2768425872.

It is an interprime number because it is at equal distance from previous prime (2785248671) and next prime (2785248673).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×27852486722 = 15515220329755527168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2785248671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14506408 + ... + 14506599.

It is an arithmetic number, because the mean of its divisors is an integer number (304636584).

Almost surely, 22785248672 is an apocalyptic number.

It is an amenable number.

2785248672 is an abundant number, since it is smaller than the sum of its proper divisors (4526029344).

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

2785248672 is a wasteful number, since it uses less digits than its factorization.

2785248672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29013020 (or 29013012 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 51.

The square root of 2785248672 is about 52775.4552041003. The cubic root of 2785248672 is about 1406.9802199529.

The spelling of 2785248672 in words is "two billion, seven hundred eighty-five million, two hundred forty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 29013007 58026014 87039021 116052028 174078042 232104056 348156084 464208112 696312168 928416224 1392624336 2785248672