Search a number
-
+
4284696 = 2331331443
BaseRepresentation
bin10000010110000100011000
322001200111110
4100112010120
52044102241
6231500320
751263553
oct20260430
98050443
104284696
112467179
1215276a0
13b70330
147d769a
15599816
hex416118

4284696 has 64 divisors (see below), whose sum is σ = 11934720. Its totient is φ = 1272960.

The previous prime is 4284677. The next prime is 4284713. The reversal of 4284696 is 6964824.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 9451 + ... + 9893.

It is an arithmetic number, because the mean of its divisors is an integer number (186480).

Almost surely, 24284696 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 4284696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5967360).

4284696 is an abundant number, since it is smaller than the sum of its proper divisors (7650024).

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

4284696 is a wasteful number, since it uses less digits than its factorization.

4284696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 492 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 4284696 is about 2069.9507240512. The cubic root of 4284696 is about 162.4201864462.

The spelling of 4284696 in words is "four million, two hundred eighty-four thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 443 744 806 886 1209 1329 1612 1772 2418 2658 3224 3544 4836 5316 5759 9672 10632 11518 13733 17277 23036 27466 34554 41199 46072 54932 69108 82398 109864 138216 164796 178529 329592 357058 535587 714116 1071174 1428232 2142348 4284696