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189304832 = 212113409
BaseRepresentation
bin10110100100010…
…01000000000000
3111012012200102002
423102021000000
5341430223312
630441243132
74456031063
oct1322110000
9435180362
10189304832
1197948582
12534934a8
13302b11c2
141b1da8da
15119454c2
hexb489000

189304832 has 52 divisors (see below), whose sum is σ = 382847340. Its totient is φ = 93585408.

The previous prime is 189304807. The next prime is 189304859. The reversal of 189304832 is 238403981.

It can be written as a sum of positive squares in 2 ways, for example, as 79138816 + 110166016 = 8896^2 + 10496^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 462644 + ... + 463052.

Almost surely, 2189304832 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 189304832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191423670).

189304832 is an abundant number, since it is smaller than the sum of its proper divisors (193542508).

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

189304832 is an equidigital number, since it uses as much as digits as its factorization.

189304832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 189304832 is about 13758.8092508036. The cubic root of 189304832 is about 574.1877196037.

The spelling of 189304832 in words is "one hundred eighty-nine million, three hundred four thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 409 452 512 818 904 1024 1636 1808 2048 3272 3616 4096 6544 7232 13088 14464 26176 28928 46217 52352 57856 92434 104704 115712 184868 209408 231424 369736 418816 462848 739472 837632 1478944 1675264 2957888 5915776 11831552 23663104 47326208 94652416 189304832