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685461504 = 2123713613
BaseRepresentation
bin101000110110110…
…101000000000000
31202202211001102010
4220312311000000
52400434232004
6152003452520
722662220020
oct5066650000
91682731363
10685461504
11321a1a412
12171687140
13ac01bb30
1467071a80
154029ea89
hex28db5000

685461504 has 208 divisors, whose sum is σ = 2253114752. Its totient is φ = 180486144.

The previous prime is 685461449. The next prime is 685461509. The reversal of 685461504 is 405164586.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (685461509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1117902 + ... + 1118514.

Almost surely, 2685461504 is an apocalyptic number.

685461504 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 685461504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126557376).

685461504 is an abundant number, since it is smaller than the sum of its proper divisors (1567653248).

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

685461504 is a wasteful number, since it uses less digits than its factorization.

685461504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 685461504 is about 26181.3197528314. The cubic root of 685461504 is about 881.7139049776.

The spelling of 685461504 in words is "six hundred eighty-five million, four hundred sixty-one thousand, five hundred four".