Search a number
-
+
685407744 = 29357787
BaseRepresentation
bin101000110110100…
…111111000000000
31202202201022200000
4220312213320000
52400431021434
6152002400000
722661604210
oct5066477000
91682638600
10685407744
11321992a8a
12171660000
13ac000518
146705a240
154028db99
hex28da7e00

685407744 has 240 divisors, whose sum is σ = 2347433088. Its totient is φ = 195581952.

The previous prime is 685407733. The next prime is 685407757. The reversal of 685407744 is 447704586.

685407744 is a `hidden beast` number, since 68 + 540 + 7 + 7 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 685407744.

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 23 ways as a sum of consecutive naturals, for example, 870519 + ... + 871305.

Almost surely, 2685407744 is an apocalyptic number.

685407744 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 685407744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173716544).

685407744 is an abundant number, since it is smaller than the sum of its proper divisors (1662025344).

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

685407744 is an frugal number, since it uses more digits than its factorization.

685407744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 685407744 is about 26180.2930464882. The cubic root of 685407744 is about 881.6908537542.

The spelling of 685407744 in words is "six hundred eighty-five million, four hundred seven thousand, seven hundred forty-four".