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679509984 = 25316694241
BaseRepresentation
bin101000100000000…
…111111111100000
31202100121200110110
4220200013333200
52342423304414
6151232131320
722560511446
oct5040077740
91670550413
10679509984
113196249aa
1216b696b40
13aaa16c1a
1466362b96
153e9c6459
hex28807fe0

679509984 has 48 divisors (see below), whose sum is σ = 1785203280. Its totient is φ = 226314240.

The previous prime is 679509959. The next prime is 679509989. The reversal of 679509984 is 489905976.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679509989) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 158104 + ... + 162344.

It is an arithmetic number, because the mean of its divisors is an integer number (37191735).

Almost surely, 2679509984 is an apocalyptic number.

It is an amenable number.

679509984 is an abundant number, since it is smaller than the sum of its proper divisors (1105693296).

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

679509984 is a wasteful number, since it uses less digits than its factorization.

679509984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5923 (or 5915 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 57.

The square root of 679509984 is about 26067.4122996511. The cubic root of 679509984 is about 879.1546565278.

The spelling of 679509984 in words is "six hundred seventy-nine million, five hundred nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1669 3338 4241 5007 6676 8482 10014 12723 13352 16964 20028 25446 26704 33928 40056 50892 53408 67856 80112 101784 135712 160224 203568 407136 7078229 14156458 21234687 28312916 42469374 56625832 84938748 113251664 169877496 226503328 339754992 679509984