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189844992 = 293331443
BaseRepresentation
bin10110101000011…
…00111000000000
3111020020010101000
423110030320000
5342100014432
630501012000
74463440641
oct1324147000
9436203330
10189844992
1198187397
12536b4000
133044001c
141b2db6c8
1511a0057c
hexb50ce00

189844992 has 160 divisors (see below), whose sum is σ = 581391360. Its totient is φ = 61102080.

The previous prime is 189844981. The next prime is 189844999. The reversal of 189844992 is 299448981.

It is a super-2 number, since 2×1898449922 = 72082241974960128, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189844999) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428323 + ... + 428765.

It is an arithmetic number, because the mean of its divisors is an integer number (3633696).

Almost surely, 2189844992 is an apocalyptic number.

189844992 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 189844992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290695680).

189844992 is an abundant number, since it is smaller than the sum of its proper divisors (391546368).

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

189844992 is an equidigital number, since it uses as much as digits as its factorization.

189844992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 479 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 189844992 is about 13778.4248736929. The cubic root of 189844992 is about 574.7333276341.

The spelling of 189844992 in words is "one hundred eighty-nine million, eight hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 256 279 288 372 384 432 443 496 512 558 576 744 768 837 864 886 992 1116 1152 1329 1488 1536 1674 1728 1772 1984 2232 2304 2658 2976 3348 3456 3544 3968 3987 4464 4608 5316 5952 6696 6912 7088 7936 7974 8928 10632 11904 11961 13392 13733 13824 14176 15872 15948 17856 21264 23808 23922 26784 27466 28352 31896 35712 41199 42528 47616 47844 53568 54932 56704 63792 71424 82398 85056 95688 107136 109864 113408 123597 127584 142848 164796 170112 191376 214272 219728 226816 247194 255168 329592 340224 370791 382752 428544 439456 494388 510336 659184 680448 741582 765504 878912 988776 1020672 1318368 1483164 1531008 1757824 1977552 2041344 2636736 2966328 3062016 3515648 3955104 5273472 5932656 6124032 7031296 7910208 10546944 11865312 15820416 21093888 23730624 31640832 47461248 63281664 94922496 189844992