Search a number
-
+
5035836 = 22313191699
BaseRepresentation
bin10011001101011100111100
3100110211212110
4103031130330
52242121321
6255534020
760542511
oct23153474
910424773
105035836
11292a553
12182a310
1310741b0
14951308
15697176
hex4cd73c

5035836 has 48 divisors (see below), whose sum is σ = 13328000. Its totient is φ = 1467072.

The previous prime is 5035819. The next prime is 5035841. The reversal of 5035836 is 6385305.

It is a congruent number.

It is an unprimeable number.

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, 2115 + ... + 3813.

Almost surely, 25035836 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 5035836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6664000).

5035836 is an abundant number, since it is smaller than the sum of its proper divisors (8292164).

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

5035836 is a wasteful number, since it uses less digits than its factorization.

5035836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 5035836 is about 2244.0668439242. The cubic root of 5035836 is about 171.4051471963.

The spelling of 5035836 in words is "five million, thirty-five thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 741 988 1482 1699 2964 3398 5097 6796 10194 20388 22087 32281 44174 64562 66261 88348 96843 129124 132522 193686 265044 387372 419653 839306 1258959 1678612 2517918 5035836