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681045248 = 2813204641
BaseRepresentation
bin101000100101111…
…110110100000000
31202110111200110002
4220211332310000
52343321421443
6151325055132
722606534442
oct5045766400
91673450402
10681045248
1131a483414
121700b74a8
13ab133970
1466642492
153ebcb2b8
hex2897ed00

681045248 has 36 divisors (see below), whose sum is σ = 1464008868. Its totient is φ = 314327040.

The previous prime is 681045229. The next prime is 681045257. The reversal of 681045248 is 842540186.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 40347904 + 640697344 = 6352^2 + 25312^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98993 + ... + 105648.

It is an arithmetic number, because the mean of its divisors is an integer number (40666913).

Almost surely, 2681045248 is an apocalyptic number.

It is an amenable number.

681045248 is an abundant number, since it is smaller than the sum of its proper divisors (782963620).

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

681045248 is a wasteful number, since it uses less digits than its factorization.

681045248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204670 (or 204656 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 681045248 is about 26096.8436405631. The cubic root of 681045248 is about 879.8162701828.

The spelling of 681045248 in words is "six hundred eighty-one million, forty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 204641 409282 818564 1637128 2660333 3274256 5320666 6548512 10641332 13097024 21282664 26194048 42565328 52388096 85130656 170261312 340522624 681045248