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683415072 = 25325344773
BaseRepresentation
bin101000101111000…
…001011000100000
31202121222002020100
4220233001120200
52344423240242
6151451542400
722635634524
oct5057013040
91677862210
10683415072
1132085194a
12170a5aa00
13ab783522
1466a9bd84
153eee854c
hex28bc1620

683415072 has 72 divisors (see below), whose sum is σ = 1980174924. Its totient is φ = 223501824.

The previous prime is 683415043. The next prime is 683415091. The reversal of 683415072 is 270514386.

It can be written as a sum of positive squares in 2 ways, for example, as 655155216 + 28259856 = 25596^2 + 5316^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7123 + ... + 37650.

Almost surely, 2683415072 is an apocalyptic number.

It is an amenable number.

683415072 is an abundant number, since it is smaller than the sum of its proper divisors (1296759852).

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

683415072 is a wasteful number, since it uses less digits than its factorization.

683415072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44842 (or 44831 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 683415072 is about 26142.2086289586. The cubic root of 683415072 is about 880.8355837500.

The spelling of 683415072 in words is "six hundred eighty-three million, four hundred fifteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 3816 5088 7632 15264 44773 89546 134319 179092 268638 358184 402957 537276 716368 805914 1074552 1432736 1611828 2149104 2372969 3223656 4298208 4745938 6447312 7118907 9491876 12894624 14237814 18983752 21356721 28475628 37967504 42713442 56951256 75935008 85426884 113902512 170853768 227805024 341707536 683415072