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189819828 = 223311236947
BaseRepresentation
bin10110101000001…
…10101110110100
3111020011211212000
423110012232310
5342043213303
630500255300
74463304402
oct1324065664
9436154760
10189819828
119816a4a0
12536a1530
1330431733
141b2d2472
15119e7da3
hexb506bb4

189819828 has 96 divisors (see below), whose sum is σ = 560286720. Its totient is φ = 55012320.

The previous prime is 189819797. The next prime is 189819853. The reversal of 189819828 is 828918981.

189819828 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23851 + ... + 30797.

It is an arithmetic number, because the mean of its divisors is an integer number (5836320).

Almost surely, 2189819828 is an apocalyptic number.

189819828 is a gapful number since it is divisible by the number (18) 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 189819828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280143360).

189819828 is an abundant number, since it is smaller than the sum of its proper divisors (370466892).

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

189819828 is a wasteful number, since it uses less digits than its factorization.

189819828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6994 (or 6986 counting only the distinct ones).

The product of its digits is 663552, while the sum is 54.

The square root of 189819828 is about 13777.5116766418. The cubic root of 189819828 is about 574.7079328311.

The spelling of 189819828 in words is "one hundred eighty-nine million, eight hundred nineteen thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 92 99 108 132 138 198 207 253 276 297 396 414 506 594 621 759 828 1012 1188 1242 1518 2277 2484 3036 4554 6831 6947 9108 13662 13894 20841 27324 27788 41682 62523 76417 83364 125046 152834 159781 187569 229251 250092 305668 319562 375138 458502 479343 639124 687753 750276 917004 958686 1375506 1438029 1757591 1917372 2063259 2751012 2876058 3515182 4126518 4314087 5272773 5752116 7030364 8253036 8628174 10545546 15818319 17256348 21091092 31636638 47454957 63273276 94909914 189819828