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685764144 = 243413231101
BaseRepresentation
bin101000110111111…
…110111000110000
31202210101102120000
4220313332320300
52401023423034
6152014150000
722664620242
oct5067767060
91683342500
10685764144
1132210682a
121717b2300
13ac0c6800
1467110092
154030e599
hex28dfee30

685764144 has 300 divisors, whose sum is σ = 2240517312. Its totient is φ = 202176000.

The previous prime is 685764143. The next prime is 685764193. The reversal of 685764144 is 441467586.

685764144 is a `hidden beast` number, since 68 + 576 + 4 + 14 + 4 = 666.

It is a super-2 number, since 2×6857641442 = 940544922392105472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 685764144.

It is not an unprimeable number, because it can be changed into a prime (685764143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6789694 + ... + 6789794.

Almost surely, 2685764144 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 685764144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120258656).

685764144 is an abundant number, since it is smaller than the sum of its proper divisors (1554753168).

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

685764144 is a wasteful number, since it uses less digits than its factorization.

685764144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 150 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 685764144 is about 26187.0988083827. The cubic root of 685764144 is about 881.8436485313.

The spelling of 685764144 in words is "six hundred eighty-five million, seven hundred sixty-four thousand, one hundred forty-four".