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682405264 = 24298231787
BaseRepresentation
bin101000101011001…
…010110110010000
31202120001210001001
4220223022312100
52344143432024
6151414151344
722624230502
oct5053126620
91676053031
10682405264
113202221a2
12170652554
13ab4bb9c8
14668b7d72
153ed99244
hex28acad90

682405264 has 40 divisors (see below), whose sum is σ = 1370180160. Its totient is φ = 328852608.

The previous prime is 682405261. The next prime is 682405277. The reversal of 682405264 is 462504286.

It is not an unprimeable number, because it can be changed into a prime (682405261) 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, 380979 + ... + 382765.

It is an arithmetic number, because the mean of its divisors is an integer number (34254504).

Almost surely, 2682405264 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 682405264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685090080).

682405264 is an abundant number, since it is smaller than the sum of its proper divisors (687774896).

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

682405264 is a wasteful number, since it uses less digits than its factorization.

682405264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 682405264 is about 26122.8877423611. The cubic root of 682405264 is about 880.4015316349.

The spelling of 682405264 in words is "six hundred eighty-two million, four hundred five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 823 1646 1787 3292 3574 6584 7148 13168 14296 23867 28592 47734 51823 95468 103646 190936 207292 381872 414584 829168 1470701 2941402 5882804 11765608 23531216 42650329 85300658 170601316 341202632 682405264