Search a number
-
+
1926163242 = 2323743103653
BaseRepresentation
bin111001011001110…
…1110101100101010
311222020102020020100
41302303232230222
512421044210432
6515044210230
765506055163
oct16263565452
94866366210
101926163242
118a92a5a53
12459099976
13249094383
14143b5876a
15b417a07c
hex72ceeb2a

1926163242 has 96 divisors (see below), whose sum is σ = 4435187328. Its totient is φ = 603324288.

The previous prime is 1926163237. The next prime is 1926163243. The reversal of 1926163242 is 2423616291.

It is a happy number.

1926163242 is a `hidden beast` number, since 1 + 9 + 2 + 616 + 32 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1926163197 and 1926163206.

It is not an unprimeable number, because it can be changed into a prime (1926163243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2949388 + ... + 2950040.

It is an arithmetic number, because the mean of its divisors is an integer number (46199868).

Almost surely, 21926163242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1926163242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217593664).

1926163242 is an abundant number, since it is smaller than the sum of its proper divisors (2509024086).

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

1926163242 is a wasteful number, since it uses less digits than its factorization.

1926163242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 841 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 1926163242 is about 43888.0763078083. The cubic root of 1926163242 is about 1244.2214864816.

The spelling of 1926163242 in words is "one billion, nine hundred twenty-six million, one hundred sixty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 37 43 74 86 103 111 129 206 222 258 309 333 387 618 653 666 774 927 1306 1591 1854 1959 3182 3811 3918 4429 4773 5877 7622 8858 9546 11433 11754 13287 14319 22866 24161 26574 28079 28638 34299 39861 48322 56158 67259 68598 72483 79722 84237 134518 144966 163873 168474 201777 217449 252711 327746 403554 434898 491619 505422 605331 983238 1038923 1210662 1474857 2077846 2488583 2892137 2949714 3116769 4977166 5784274 6233538 7465749 8676411 9350307 14931498 17352822 18700614 22397247 26029233 44794494 52058466 107009069 214018138 321027207 642054414 963081621 1926163242