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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".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 641 784 1282 1568 1933 2564 3866 4487 5128 7732 8974 10256 13531 15464 17948 20512 27062 30928 31409 35896 54124 61856 62818 71792 94717 108248 125636 143584 189434 216496 251272 378868 432992 502544 757736 1005088 1239053 1515472 2478106 3030944 4956212 8673371 9912424 17346742 19824848 34693484 39649696 60713597 69386968 121427194 138773936 242854388 277547872 485708776 971417552 1942835104