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189856872 = 2335127769
BaseRepresentation
bin10110101000011…
…11110001101000
3111020020201200000
423110033301220
5342100404442
630501143000
74463520402
oct1324176150
9436221600
10189856872
1198195307
12536baa60
133044555a
141b301b72
1511a03d4c
hexb50fc68

189856872 has 96 divisors (see below), whose sum is σ = 538137600. Its totient is φ = 62705664.

The previous prime is 189856819. The next prime is 189856883. The reversal of 189856872 is 278658981.

189856872 is a `hidden beast` number, since 1 + 8 + 9 + 8 + 568 + 72 = 666.

189856872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246504 + ... + 247272.

It is an arithmetic number, because the mean of its divisors is an integer number (5605600).

Almost surely, 2189856872 is an apocalyptic number.

189856872 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 189856872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269068800).

189856872 is an abundant number, since it is smaller than the sum of its proper divisors (348280728).

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

189856872 is a wasteful number, since it uses less digits than its factorization.

189856872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 901 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The square root of 189856872 is about 13778.8559757333. The cubic root of 189856872 is about 574.7453158171.

The spelling of 189856872 in words is "one hundred eighty-nine million, eight hundred fifty-six thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 127 162 216 243 254 324 381 486 508 648 762 769 972 1016 1143 1524 1538 1944 2286 2307 3048 3076 3429 4572 4614 6152 6858 6921 9144 9228 10287 13716 13842 18456 20574 20763 27432 27684 30861 41148 41526 55368 61722 62289 82296 83052 97663 123444 124578 166104 186867 195326 246888 249156 292989 373734 390652 498312 585978 747468 781304 878967 1171956 1494936 1757934 2343912 2636901 3515868 5273802 7031736 7910703 10547604 15821406 21095208 23732109 31642812 47464218 63285624 94928436 189856872