Search a number
-
+
4133836 = 227323131
BaseRepresentation
bin1111110001001111001100
321210000120001
433301033030
52024240321
6224334044
750065000
oct17611714
97700501
104133836
1123738a3
121474324
13b19775
14798700
15569c91
hex3f13cc

4133836 has 48 divisors (see below), whose sum is σ = 8870400. Its totient is φ = 1681680.

The previous prime is 4133821. The next prime is 4133837. The reversal of 4133836 is 6383314.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (4133837) 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, 31491 + ... + 31621.

It is an arithmetic number, because the mean of its divisors is an integer number (184800).

Almost surely, 24133836 is an apocalyptic number.

4133836 is a gapful number since it is divisible by the number (46) 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 4133836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435200).

4133836 is an abundant number, since it is smaller than the sum of its proper divisors (4736564).

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

4133836 is a wasteful number, since it uses less digits than its factorization.

4133836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 163 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 4133836 is about 2033.1837103420. The cubic root of 4133836 is about 160.4911470484.

The spelling of 4133836 in words is "four million, one hundred thirty-three thousand, eight hundred thirty-six".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 131 161 196 262 322 343 524 644 686 917 1127 1372 1834 2254 3013 3668 4508 6026 6419 7889 12052 12838 15778 21091 25676 31556 42182 44933 84364 89866 147637 179732 295274 590548 1033459 2066918 4133836