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676848676 = 227178531667
BaseRepresentation
bin101000010101111…
…110010000100100
31202011121110211111
4220111332100210
52341233124201
6151055114404
722526055520
oct5025762044
91664543744
10676848676
11318077479
1216a812a04
13aa2c479a
1465c6cd80
153e64cb51
hex2857e424

676848676 has 48 divisors (see below), whose sum is σ = 1435867776. Its totient is φ = 272530944.

The previous prime is 676848617. The next prime is 676848691.

It is a happy number.

676848676 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 676848676.

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 15 ways as a sum of consecutive naturals, for example, 405195 + ... + 406861.

It is an arithmetic number, because the mean of its divisors is an integer number (29913912).

Almost surely, 2676848676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 676848676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717933888).

676848676 is an abundant number, since it is smaller than the sum of its proper divisors (759019100).

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

676848676 is a wasteful number, since it uses less digits than its factorization.

676848676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548 (or 2546 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 58.

The square root of 676848676 is about 26016.3155731168. The cubic root of 676848676 is about 878.0054153944.

The spelling of 676848676 in words is "six hundred seventy-six million, eight hundred forty-eight thousand, six hundred seventy-six".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 853 1667 1706 3334 3412 5971 6668 11669 11942 14501 23338 23884 28339 29002 46676 56678 58004 101507 113356 198373 203014 396746 406028 793492 1421951 2843902 5687804 9953657 19907314 24173167 39814628 48346334 96692668 169212169 338424338 676848676