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189143856 = 24331153751
BaseRepresentation
bin10110100011000…
…01101100110000
3111011220111121000
423101201230300
5341410100411
630434002000
74454460546
oct1321415460
9434814530
10189143856
1197848640
1253416300
1330255b55
141b197d96
1511912956
hexb461b30

189143856 has 160 divisors (see below), whose sum is σ = 604247040. Its totient is φ = 56160000.

The previous prime is 189143849. The next prime is 189143863. The reversal of 189143856 is 658341981.

It is an interprime number because it is at equal distance from previous prime (189143849) and next prime (189143863).

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, 251481 + ... + 252231.

It is an arithmetic number, because the mean of its divisors is an integer number (3776544).

Almost surely, 2189143856 is an apocalyptic number.

189143856 is a gapful number since it is divisible by the number (16) 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 189143856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302123520).

189143856 is an abundant number, since it is smaller than the sum of its proper divisors (415103184).

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

189143856 is a wasteful number, since it uses less digits than its factorization.

189143856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 820 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 189143856 is about 13752.9580818092. The cubic root of 189143856 is about 574.0249192968.

The spelling of 189143856 in words is "one hundred eighty-nine million, one hundred forty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 53 54 66 72 88 99 106 108 132 144 159 176 198 212 216 264 297 318 396 424 432 477 528 583 594 636 751 792 848 954 1166 1188 1272 1431 1502 1584 1749 1908 2253 2332 2376 2544 2862 3004 3498 3816 4506 4664 4752 5247 5724 6008 6759 6996 7632 8261 9012 9328 10494 11448 12016 13518 13992 15741 16522 18024 20277 20988 22896 24783 27036 27984 31482 33044 36048 39803 40554 41976 49566 54072 62964 66088 74349 79606 81108 83952 99132 108144 119409 125928 132176 148698 159212 162216 198264 223047 238818 251856 297396 318424 324432 358227 396528 437833 446094 477636 594792 636848 716454 875666 892188 955272 1074681 1189584 1313499 1432908 1751332 1784376 1910544 2149362 2626998 2865816 3502664 3568752 3940497 4298724 5253996 5731632 7005328 7880994 8597448 10507992 11821491 15761988 17194896 21015984 23642982 31523976 47285964 63047952 94571928 189143856