Search a number
-
+
4992084 = 2233172719
BaseRepresentation
bin10011000010110001010100
3100101121212000
4103002301110
52234221314
6254555300
760301116
oct23026124
910347760
104992084
1128aa699
121808b30
13105a2c6
1493d3b6
15689209
hex4c2c54

4992084 has 48 divisors (see below), whose sum is σ = 13708800. Its totient is φ = 1565568.

The previous prime is 4992083. The next prime is 4992107. The reversal of 4992084 is 4802994.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4992083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477 + ... + 3195.

It is an arithmetic number, because the mean of its divisors is an integer number (285600).

Almost surely, 24992084 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 4992084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6854400).

4992084 is an abundant number, since it is smaller than the sum of its proper divisors (8716716).

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

4992084 is a wasteful number, since it uses less digits than its factorization.

4992084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4992084 is about 2234.2972049394. The cubic root of 4992084 is about 170.9073058719.

The spelling of 4992084 in words is "four million, nine hundred ninety-two thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 2719 5438 8157 10876 16314 24471 32628 46223 48942 73413 92446 97884 138669 146826 184892 277338 293652 416007 554676 832014 1248021 1664028 2496042 4992084