Search a number
-
+
4966038 = 2327113583
BaseRepresentation
bin10010111100011010010110
3100100022010100
4102330122112
52232403123
6254234530
760132150
oct22743226
910308110
104966038
112892070
1217b5a46
13104b4ac
14933ad0
15681643
hex4bc696

4966038 has 48 divisors (see below), whose sum is σ = 13418496. Its totient is φ = 1289520.

The previous prime is 4966033. The next prime is 4966051. The reversal of 4966038 is 8306694.

4966038 is a `hidden beast` number, since 49 + 6 + 603 + 8 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4965993 and 4966011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4966033) 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, 406 + ... + 3177.

It is an arithmetic number, because the mean of its divisors is an integer number (279552).

Almost surely, 24966038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4966038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6709248).

4966038 is an abundant number, since it is smaller than the sum of its proper divisors (8452458).

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

4966038 is a wasteful number, since it uses less digits than its factorization.

4966038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4966038 is about 2228.4609038527. The cubic root of 4966038 is about 170.6095534058.

The spelling of 4966038 in words is "four million, nine hundred sixty-six thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 3583 7166 10749 21498 25081 32247 39413 50162 64494 75243 78826 118239 150486 225729 236478 275891 354717 451458 551782 709434 827673 1655346 2483019 4966038