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1840983872 = 2671319127131
BaseRepresentation
bin110110110111011…
…0010111101000000
311202022010200002212
41231232302331000
512232242440442
6502402401252
763423050630
oct15556627500
94668120085
101840983872
11865207482
12434660228
1323453c690
141367046c0
15ab951a82
hex6dbb2f40

1840983872 has 224 divisors, whose sum is σ = 4806574080. Its totient is φ = 679311360.

The previous prime is 1840983821. The next prime is 1840983913. The reversal of 1840983872 is 2783890481.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×18409838722 = 6778443233928224768, 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 1840983872.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14053247 + ... + 14053377.

It is an arithmetic number, because the mean of its divisors is an integer number (21457920).

Almost surely, 21840983872 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 1840983872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403287040).

1840983872 is an abundant number, since it is smaller than the sum of its proper divisors (2965590208).

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

1840983872 is a wasteful number, since it uses less digits than its factorization.

1840983872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 50.

The square root of 1840983872 is about 42906.6879635331. The cubic root of 1840983872 is about 1225.6035059334.

The spelling of 1840983872 in words is "one billion, eight hundred forty million, nine hundred eighty-three thousand, eight hundred seventy-two".