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1942835104 = 25726411933
BaseRepresentation
bin111001111001101…
…0100111110100000
312000101210020201201
41303303110332200
512434331210404
6520441410544
766100553200
oct16363247640
95011706651
101942835104
11907752851
12462799a54
1324c680992
14146058400
15b586eca4
hex73cd4fa0

1942835104 has 72 divisors (see below), whose sum is σ = 4458686148. Its totient is φ = 830914560.

The previous prime is 1942835087. The next prime is 1942835107. The reversal of 1942835104 is 4015382491.

It can be written as a sum of positive squares in 2 ways, for example, as 1742895504 + 199939600 = 41748^2 + 14140^2 .

It is not an unprimeable number, because it can be changed into a prime (1942835107) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1004122 + ... + 1006054.

Almost surely, 21942835104 is an apocalyptic number.

1942835104 is a gapful number since it is divisible by the number (14) 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 1942835104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229343074).

1942835104 is an abundant number, since it is smaller than the sum of its proper divisors (2515851044).

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

1942835104 is a wasteful number, since it uses less digits than its factorization.

1942835104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 1942835104 is about 44077.6032016261. The cubic root of 1942835104 is about 1247.8009558190.

The spelling of 1942835104 in words is "one billion, nine hundred forty-two million, eight hundred thirty-five thousand, one hundred four".