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685428480 = 2834511601
BaseRepresentation
bin101000110110101…
…100111100000000
31202202202101010000
4220312230330000
52400432202410
6152003040000
722662021522
oct5066547400
91682671100
10685428480
113219a7620
12171670000
13ac009aa9
1467063a12
1540294dc0
hex28dacf00

685428480 has 360 divisors, whose sum is σ = 2680002864. Its totient is φ = 165888000.

The previous prime is 685428461. The next prime is 685428487. The reversal of 685428480 is 84824586.

685428480 is a `hidden beast` number, since 68 + 542 + 8 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×6854284802 = 939624402390220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (685428487) 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 39 ways as a sum of consecutive naturals, for example, 1140180 + ... + 1140780.

Almost surely, 2685428480 is an apocalyptic number.

685428480 is a gapful number since it is divisible by the number (60) 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 685428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340001432).

685428480 is an abundant number, since it is smaller than the sum of its proper divisors (1994574384).

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

685428480 is a wasteful number, since it uses less digits than its factorization.

685428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 685428480 is about 26180.6890665620. The cubic root of 685428480 is about 881.6997450831.

The spelling of 685428480 in words is "six hundred eighty-five million, four hundred twenty-eight thousand, four hundred eighty".