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189466398 = 233112107271
BaseRepresentation
bin10110100101100…
…00011100011110
3111012111220001000
423102300130132
5342000411043
630444531130
74460303112
oct1322603436
9435456030
10189466398
1197a48a00
1253550aa6
13303398c4
141b23d742
15119782d3
hexb4b071e

189466398 has 96 divisors (see below), whose sum is σ = 468840960. Its totient is φ = 56667600.

The previous prime is 189466397. The next prime is 189466421. The reversal of 189466398 is 893664981.

189466398 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189466391) 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, 699003 + ... + 699273.

It is an arithmetic number, because the mean of its divisors is an integer number (4883760).

Almost surely, 2189466398 is an apocalyptic number.

189466398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 189466398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234420480).

189466398 is an abundant number, since it is smaller than the sum of its proper divisors (279374562).

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

189466398 is a wasteful number, since it uses less digits than its factorization.

189466398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 394 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 189466398 is about 13764.6793642278. The cubic root of 189466398 is about 574.3510238235.

The spelling of 189466398 in words is "one hundred eighty-nine million, four hundred sixty-six thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 107 121 198 214 242 271 297 321 363 542 594 642 726 813 963 1089 1177 1626 1926 2178 2354 2439 2889 2981 3267 3531 4878 5778 5962 6534 7062 7317 8943 10593 12947 14634 17886 21186 25894 26829 28997 31779 32791 38841 53658 57994 63558 65582 77682 80487 86991 98373 116523 160974 173982 196746 233046 260973 295119 318967 349569 521946 590238 637934 699138 782919 885357 956901 1565838 1770714 1913802 2870703 3508637 5741406 7017274 8612109 10525911 17224218 21051822 31577733 63155466 94733199 189466398