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189643752 = 23325349697
BaseRepresentation
bin10110100110110…
…11101111101000
3111012211220022200
423103123233220
5342022100002
630452420200
74461642144
oct1323335750
9435756280
10189643752
119805a181
1253617660
133039c54c
141b288224
15119b0b1c
hexb4dbbe8

189643752 has 48 divisors (see below), whose sum is σ = 523319940. Its totient is φ = 62020608.

The previous prime is 189643733. The next prime is 189643787. The reversal of 189643752 is 257346981.

It can be written as a sum of positive squares in 2 ways, for example, as 179184996 + 10458756 = 13386^2 + 3234^2 .

It is a junction number, because it is equal to n+sod(n) for n = 189643698 and 189643707.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 21033 + ... + 28664.

Almost surely, 2189643752 is an apocalyptic number.

189643752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

189643752 is an abundant number, since it is smaller than the sum of its proper divisors (333676188).

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

189643752 is a wasteful number, since it uses less digits than its factorization.

189643752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49762 (or 49755 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 189643752 is about 13771.1202158721. The cubic root of 189643752 is about 574.5301790462.

The spelling of 189643752 in words is "one hundred eighty-nine million, six hundred forty-three thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 49697 99394 149091 198788 298182 397576 447273 596364 894546 1192728 1789092 2633941 3578184 5267882 7901823 10535764 15803646 21071528 23705469 31607292 47410938 63214584 94821876 189643752