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1682951904 = 2536193797
BaseRepresentation
bin110010001001111…
…1100111011100000
311100021202211000000
41210103330323200
511421313430104
6434555300000
756463566214
oct14423747340
94307684000
101682951904
11793a89747
123ab74a600
1320a88a93a
1411d728944
159cb37639
hex644fcee0

1682951904 has 168 divisors, whose sum is σ = 5230529640. Its totient is φ = 531318528.

The previous prime is 1682951903. The next prime is 1682951909. The reversal of 1682951904 is 4091592861.

It is a super-2 number, since 2×16829519042 = 5664654222354450432, 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 1682951904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1682951903) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 441334 + ... + 445130.

It is an arithmetic number, because the mean of its divisors is an integer number (31134105).

Almost surely, 21682951904 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 1682951904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615264820).

1682951904 is an abundant number, since it is smaller than the sum of its proper divisors (3547577736).

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

1682951904 is an equidigital number, since it uses as much as digits as its factorization.

1682951904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3844 (or 3821 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 1682951904 is about 41023.7968013688. The cubic root of 1682951904 is about 1189.4802485076.

The spelling of 1682951904 in words is "one billion, six hundred eighty-two million, nine hundred fifty-one thousand, nine hundred four".