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683779904 = 2619737703
BaseRepresentation
bin101000110000011…
…010011101000000
31202122122121200122
4220300122131000
52400021424104
6151503435412
722642014263
oct5060323500
91678577618
10683779904
11320a80a65
12170bb5b68
13ab8805c2
1466b54cda
154006b6be
hex28c1a740

683779904 has 56 divisors (see below), whose sum is σ = 1448043840. Its totient is φ = 319417344.

The previous prime is 683779897. The next prime is 683779907. The reversal of 683779904 is 409977386.

It is a super-2 number, since 2×6837799042 = 935109914228498432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683779907) 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 7 ways as a sum of consecutive naturals, for example, 84917 + ... + 92619.

Almost surely, 2683779904 is an apocalyptic number.

683779904 is a gapful number since it is divisible by the number (64) 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 683779904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724021920).

683779904 is an abundant number, since it is smaller than the sum of its proper divisors (764263936).

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

683779904 is a wasteful number, since it uses less digits than its factorization.

683779904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7807 (or 7797 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 53.

The square root of 683779904 is about 26149.1855322494. The cubic root of 683779904 is about 880.9922966340.

The spelling of 683779904 in words is "six hundred eighty-three million, seven hundred seventy-nine thousand, nine hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 73 76 146 152 292 304 584 608 1168 1216 1387 2336 2774 4672 5548 7703 11096 15406 22192 30812 44384 61624 88768 123248 146357 246496 292714 492992 562319 585428 1124638 1170856 2249276 2341712 4498552 4683424 8997104 9366848 10684061 17994208 21368122 35988416 42736244 85472488 170944976 341889952 683779904