Search a number
-
+
5435406 = 2321923691
BaseRepresentation
bin10100101111000000001110
3101020010222100
4110233000032
52342413111
6312255530
764125444
oct24570016
911203870
105435406
113082779
1219a15a6
131184022
14a16b94
15725756
hex52f00e

5435406 has 48 divisors (see below), whose sum is σ = 12954240. Its totient is φ = 1639440.

The previous prime is 5435401. The next prime is 5435431. The reversal of 5435406 is 6045345.

It is a self number, because there is not a number n which added to its sum of digits gives 5435406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5435401) 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, 7521 + ... + 8211.

It is an arithmetic number, because the mean of its divisors is an integer number (269880).

Almost surely, 25435406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5435406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6477120).

5435406 is an abundant number, since it is smaller than the sum of its proper divisors (7518834).

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

5435406 is a wasteful number, since it uses less digits than its factorization.

5435406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5435406 is about 2331.3957193064. The cubic root of 5435406 is about 175.8236655037.

The spelling of 5435406 in words is "five million, four hundred thirty-five thousand, four hundred six".

Divisors: 1 2 3 6 9 18 19 23 38 46 57 69 114 138 171 207 342 414 437 691 874 1311 1382 2073 2622 3933 4146 6219 7866 12438 13129 15893 26258 31786 39387 47679 78774 95358 118161 143037 236322 286074 301967 603934 905901 1811802 2717703 5435406