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1679894368 = 252910131787
BaseRepresentation
bin110010000100001…
…0010011101100000
311100002000110211221
41210020102131200
511420023104433
6434405544424
756425603135
oct14410223540
94302013757
101679894368
11792290559
123aa715114
1320a05a049
1411d17058c
159c73172d
hex64212760

1679894368 has 48 divisors (see below), whose sum is σ = 3426630480. Its totient is φ = 809729536.

The previous prime is 1679894357. The next prime is 1679894383. The reversal of 1679894368 is 8634989761.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 939171 + ... + 940957.

It is an arithmetic number, because the mean of its divisors is an integer number (71388135).

Almost surely, 21679894368 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 1679894368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713315240).

1679894368 is an abundant number, since it is smaller than the sum of its proper divisors (1746736112).

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

1679894368 is a wasteful number, since it uses less digits than its factorization.

1679894368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2831 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 61.

The square root of 1679894368 is about 40986.5144651262. The cubic root of 1679894368 is about 1188.7594746192.

The spelling of 1679894368 in words is "one billion, six hundred seventy-nine million, eight hundred ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 1013 1787 2026 3574 4052 7148 8104 14296 16208 28592 29377 32416 51823 57184 58754 103646 117508 207292 235016 414584 470032 829168 940064 1658336 1810231 3620462 7240924 14481848 28963696 52496699 57927392 104993398 209986796 419973592 839947184 1679894368