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189779058 = 23372174219
BaseRepresentation
bin10110100111111…
…00110001110010
3111020002202221000
423103330301302
5342040412213
630455342430
74463044500
oct1323746162
9436082830
10189779058
11981418a7
1253681a16
1330419001
141b2c1670
15119dac73
hexb4fcc72

189779058 has 96 divisors (see below), whose sum is σ = 519566400. Its totient is φ = 51020928.

The previous prime is 189779053. The next prime is 189779069. The reversal of 189779058 is 850977981.

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

It is a junction number, because it is equal to n+sod(n) for n = 189778995 and 189779013.

It is not an unprimeable number, because it can be changed into a prime (189779053) 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, 42873 + ... + 47091.

It is an arithmetic number, because the mean of its divisors is an integer number (5412150).

Almost surely, 2189779058 is an apocalyptic number.

189779058 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 189779058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259783200).

189779058 is an abundant number, since it is smaller than the sum of its proper divisors (329787342).

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

189779058 is a wasteful number, since it uses less digits than its factorization.

189779058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4261 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 54.

The square root of 189779058 is about 13776.0320121579. The cubic root of 189779058 is about 574.6667841264. Note that the first 3 decimals are identical.

The spelling of 189779058 in words is "one hundred eighty-nine million, seven hundred seventy-nine thousand, fifty-eight".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 49 51 54 63 98 102 119 126 147 153 189 238 294 306 357 378 441 459 714 833 882 918 1071 1323 1666 2142 2499 2646 3213 4219 4998 6426 7497 8438 12657 14994 22491 25314 29533 37971 44982 59066 71723 75942 88599 113913 143446 177198 206731 215169 227826 265797 413462 430338 502061 531594 620193 645507 797391 1004122 1240386 1291014 1506183 1594782 1860579 1936521 3012366 3514427 3721158 3873042 4518549 5581737 7028854 9037098 10543281 11163474 13555647 21086562 27111294 31629843 63259686 94889529 189779058