Search a number
-
+
19082856 = 23313311973
BaseRepresentation
bin100100011001…
…0111001101000
31022220111202110
41020302321220
514341122411
61521002320
7321126102
oct110627150
938814673
1019082856
11a854261
1264833a0
133c51b40
14276a572
151a1e2a6
hex1232e68

19082856 has 64 divisors (see below), whose sum is σ = 53061120. Its totient is φ = 5679360.

The previous prime is 19082851. The next prime is 19082863. The reversal of 19082856 is 65828091.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19082851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8686 + ... + 10658.

It is an arithmetic number, because the mean of its divisors is an integer number (829080).

Almost surely, 219082856 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 19082856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26530560).

19082856 is an abundant number, since it is smaller than the sum of its proper divisors (33978264).

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

19082856 is a wasteful number, since it uses less digits than its factorization.

19082856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 19082856 is about 4368.3928394777. The cubic root of 19082856 is about 267.2274850114.

The spelling of 19082856 in words is "nineteen million, eighty-two thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1209 1612 1973 2418 3224 3946 4836 5919 7892 9672 11838 15784 23676 25649 47352 51298 61163 76947 102596 122326 153894 183489 205192 244652 307788 366978 489304 615576 733956 795119 1467912 1590238 2385357 3180476 4770714 6360952 9541428 19082856