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189905504 = 25173111261
BaseRepresentation
bin10110101000110…
…11101001100000
3111020100012101012
423110123221200
5342103434004
630502200052
74464112235
oct1324335140
9436305335
10189905504
11982188a8
1253723028
1330461729
141b31578c
1511a1346e
hexb51ba60

189905504 has 48 divisors (see below), whose sum is σ = 408675456. Its totient is φ = 86476800.

The previous prime is 189905491. The next prime is 189905531. The reversal of 189905504 is 405509981.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11234 + ... + 22494.

It is an arithmetic number, because the mean of its divisors is an integer number (8514072).

Almost surely, 2189905504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189905504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204337728).

189905504 is an abundant number, since it is smaller than the sum of its proper divisors (218769952).

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

189905504 is a wasteful number, since it uses less digits than its factorization.

189905504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11319 (or 11311 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 41.

The square root of 189905504 is about 13780.6205956045. The cubic root of 189905504 is about 574.7943854622.

The spelling of 189905504 in words is "one hundred eighty-nine million, nine hundred five thousand, five hundred four".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 124 136 248 272 496 527 544 992 1054 2108 4216 8432 11261 16864 22522 45044 90088 180176 191437 349091 360352 382874 698182 765748 1396364 1531496 2792728 3062992 5585456 5934547 6125984 11170912 11869094 23738188 47476376 94952752 189905504