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1942044192 = 2532112232423
BaseRepresentation
bin111001111000001…
…0011111000100000
312000100022001210200
41303300103320200
512434130403232
6520412425200
766061050264
oct16360237040
95010261720
101942044192
11907262600
12462478200
1324c46499a
14145cd00a4
15b576577c
hex73c13e20

1942044192 has 216 divisors, whose sum is σ = 6336937152. Its totient is φ = 562679040.

The previous prime is 1942044187. The next prime is 1942044233. The reversal of 1942044192 is 2914402491.

1942044192 is a `hidden beast` number, since 1 + 9 + 420 + 44 + 192 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 800293 + ... + 802715.

It is an arithmetic number, because the mean of its divisors is an integer number (29337672).

Almost surely, 21942044192 is an apocalyptic number.

1942044192 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 1942044192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168468576).

1942044192 is an abundant number, since it is smaller than the sum of its proper divisors (4394892960).

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

1942044192 is a wasteful number, since it uses less digits than its factorization.

1942044192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1942044192 is about 44068.6304756569. The cubic root of 1942044192 is about 1247.6316097094.

The spelling of 1942044192 in words is "one billion, nine hundred forty-two million, forty-four thousand, one hundred ninety-two".