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189729456 = 2437564671
BaseRepresentation
bin10110100111100…
…00101010110000
3111020000020212220
423103300222300
5342032320311
630454321040
74462450050
oct1323605260
9436006786
10189729456
1198108604
1253659180
13303cc567
141b2ab560
15119cb206
hexb4f0ab0

189729456 has 40 divisors (see below), whose sum is σ = 560154624. Its totient is φ = 54208320.

The previous prime is 189729443. The next prime is 189729457. The reversal of 189729456 is 654927981.

It is a junction number, because it is equal to n+sod(n) for n = 189729399 and 189729408.

It is not an unprimeable number, because it can be changed into a prime (189729457) by changing a digit.

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, 282000 + ... + 282671.

Almost surely, 2189729456 is an apocalyptic number.

189729456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

189729456 is an abundant number, since it is smaller than the sum of its proper divisors (370425168).

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

189729456 is a wasteful number, since it uses less digits than its factorization.

189729456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564689 (or 564683 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The square root of 189729456 is about 13774.2315938131. The cubic root of 189729456 is about 574.6167134357.

The spelling of 189729456 in words is "one hundred eighty-nine million, seven hundred twenty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 564671 1129342 1694013 2258684 3388026 3952697 4517368 6776052 7905394 9034736 11858091 13552104 15810788 23716182 27104208 31621576 47432364 63243152 94864728 189729456