Search a number
-
+
189978525 = 325211591301
BaseRepresentation
bin10110101001011…
…01011110011101
3111020110220112200
423110231132131
5342113303100
630503522113
74464535152
oct1324553635
9436426480
10189978525
1198268750
1253759339
1330488a39
141b334229
1511a29e00
hexb52d79d

189978525 has 72 divisors (see below), whose sum is σ = 377788320. Its totient is φ = 90480000.

The previous prime is 189978521. The next prime is 189978527. The reversal of 189978525 is 525879981.

It is not a de Polignac number, because 189978525 - 22 = 189978521 is a prime.

It is a super-2 number, since 2×1899785252 = 72183679922351250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189978521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 145375 + ... + 146675.

It is an arithmetic number, because the mean of its divisors is an integer number (5247060).

Almost surely, 2189978525 is an apocalyptic number.

189978525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

189978525 is a deficient number, since it is larger than the sum of its proper divisors (187809795).

189978525 is a wasteful number, since it uses less digits than its factorization.

189978525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1379 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 54.

The square root of 189978525 is about 13783.2697499541. The cubic root of 189978525 is about 574.8680478565.

The spelling of 189978525 in words is "one hundred eighty-nine million, nine hundred seventy-eight thousand, five hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 59 75 99 165 177 225 275 295 495 531 649 825 885 1301 1475 1947 2475 2655 3245 3903 4425 5841 6505 9735 11709 13275 14311 16225 19515 29205 32525 42933 48675 58545 71555 76759 97575 128799 146025 214665 230277 292725 357775 383795 643995 690831 844349 1073325 1151385 1918975 2533047 3219975 3454155 4221745 5756925 7599141 12665235 17270775 21108725 37995705 63326175 189978525