Search a number
-
+
99834192 = 243253103127
BaseRepresentation
bin1011111001101…
…01100101010000
320221212002202200
411330311211100
5201024143232
613523443200
72321401533
oct574654520
9227762680
1099834192
11513989a7
1229526500
13178b61b3
14d38aa1a
158b7077c
hex5f35950

99834192 has 120 divisors (see below), whose sum is σ = 289695744. Its totient is φ = 32078592.

The previous prime is 99834181. The next prime is 99834199. The reversal of 99834192 is 29143899.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (139968) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99834199) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 786033 + ... + 786159.

Almost surely, 299834192 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 99834192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144847872).

99834192 is an abundant number, since it is smaller than the sum of its proper divisors (189861552).

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

99834192 is a wasteful number, since it uses less digits than its factorization.

99834192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 288 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 99834192 is about 9991.7061606114. The cubic root of 99834192 is about 463.9022039235.

The spelling of 99834192 in words is "ninety-nine million, eight hundred thirty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 103 106 127 144 159 206 212 254 309 318 381 412 424 477 508 618 636 762 824 848 927 954 1016 1143 1236 1272 1524 1648 1854 1908 2032 2286 2472 2544 3048 3708 3816 4572 4944 5459 6096 6731 7416 7632 9144 10918 13081 13462 14832 16377 18288 20193 21836 26162 26924 32754 39243 40386 43672 49131 52324 53848 60579 65508 78486 80772 87344 98262 104648 107696 117729 121158 131016 156972 161544 196524 209296 235458 242316 262032 313944 323088 393048 470916 484632 627888 693293 786096 941832 969264 1386586 1883664 2079879 2773172 4159758 5546344 6239637 8319516 11092688 12479274 16639032 24958548 33278064 49917096 99834192