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102779472 = 2433316469
BaseRepresentation
bin1100010000001…
…00101001010000
321011101201221010
412020010221100
5202302420342
614110530520
72355416415
oct610045120
9234351833
10102779472
115301a814
122a506a40
13183a7973
14d91610c
15905329c
hex6204a50

102779472 has 40 divisors (see below), whose sum is σ = 266356960. Its totient is φ = 34151040.

The previous prime is 102779447. The next prime is 102779483. The reversal of 102779472 is 274977201.

It is a self number, because there is not a number n which added to its sum of digits gives 102779472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12654 + ... + 19122.

It is an arithmetic number, because the mean of its divisors is an integer number (6658924).

Almost surely, 2102779472 is an apocalyptic number.

102779472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102779472 is an abundant number, since it is smaller than the sum of its proper divisors (163577488).

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

102779472 is a wasteful number, since it uses less digits than its factorization.

102779472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6811 (or 6805 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 39.

The square root of 102779472 is about 10138.0211086780. The cubic root of 102779472 is about 468.4200334527.

The spelling of 102779472 in words is "one hundred two million, seven hundred seventy-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 331 662 993 1324 1986 2648 3972 5296 6469 7944 12938 15888 19407 25876 38814 51752 77628 103504 155256 310512 2141239 4282478 6423717 8564956 12847434 17129912 25694868 34259824 51389736 102779472