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1683873792 = 2133323331
BaseRepresentation
bin110010001011101…
…1110000000000000
311100100111122121000
41210113132000000
511422032430132
6435031132000
756504456016
oct14427360000
94310448530
101683873792
11794559337
123abb14000
1320ab21433
1411d8c88b6
159cc6a87c
hex645de000

1683873792 has 224 divisors, whose sum is σ = 5221589760. Its totient is φ = 535265280.

The previous prime is 1683873781. The next prime is 1683873797. The reversal of 1683873792 is 2973783861.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683873797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5087067 + ... + 5087397.

Almost surely, 21683873792 is an apocalyptic number.

1683873792 is a gapful number since it is divisible by the number (12) 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 1683873792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610794880).

1683873792 is an abundant number, since it is smaller than the sum of its proper divisors (3537715968).

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

1683873792 is an equidigital number, since it uses as much as digits as its factorization.

1683873792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 359 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 1683873792 is about 41035.0312781652. The cubic root of 1683873792 is about 1189.6974001682.

It can be divided in two parts, 168 and 3873792, that multiplied together give a palindrome (650797056).

The spelling of 1683873792 in words is "one billion, six hundred eighty-three million, eight hundred seventy-three thousand, seven hundred ninety-two".