Search a number
-
+
4099032 = 233372711
BaseRepresentation
bin1111101000101111011000
321201020211000
433220233120
52022132112
6223505000
746561350
oct17505730
97636730
104099032
11234a733
121458160
13b06982
14789b60
1555e7dc
hex3e8bd8

4099032 has 64 divisors (see below), whose sum is σ = 13017600. Its totient is φ = 1170720.

The previous prime is 4099027. The next prime is 4099033. The reversal of 4099032 is 2309904.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4098987 and 4099005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4099033) 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 15 ways as a sum of consecutive naturals, for example, 157 + ... + 2867.

It is an arithmetic number, because the mean of its divisors is an integer number (203400).

Almost surely, 24099032 is an apocalyptic number.

4099032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4099032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6508800).

4099032 is an abundant number, since it is smaller than the sum of its proper divisors (8918568).

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

4099032 is a wasteful number, since it uses less digits than its factorization.

4099032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 4099032 is about 2024.6066284590. The cubic root of 4099032 is about 160.0394694294.

The spelling of 4099032 in words is "four million, ninety-nine thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 2711 5422 8133 10844 16266 18977 21688 24399 32532 37954 48798 56931 65064 73197 75908 97596 113862 146394 151816 170793 195192 227724 292788 341586 455448 512379 585576 683172 1024758 1366344 2049516 4099032