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4538106 = 234109257
BaseRepresentation
bin10001010011111011111010
322112120010000
4101103323322
52130204411
6241133430
753400426
oct21237372
98476100
104538106
11261a601
12162a276
13c2b791
14861b86
155e9956
hex453efa

4538106 has 40 divisors (see below), whose sum is σ = 10301940. Its totient is φ = 1492992.

The previous prime is 4538101. The next prime is 4538113. The reversal of 4538106 is 6018354.

It can be written as a sum of positive squares in 2 ways, for example, as 3744225 + 793881 = 1935^2 + 891^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4538106.

It is not an unprimeable number, because it can be changed into a prime (4538101) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17530 + ... + 17786.

Almost surely, 24538106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4538106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150970).

4538106 is an abundant number, since it is smaller than the sum of its proper divisors (5763834).

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

4538106 is a wasteful number, since it uses less digits than its factorization.

4538106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4538106 is about 2130.2830797807. The cubic root of 4538106 is about 165.5610652007.

The spelling of 4538106 in words is "four million, five hundred thirty-eight thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 109 162 218 257 327 514 654 771 981 1542 1962 2313 2943 4626 5886 6939 8829 13878 17658 20817 28013 41634 56026 84039 168078 252117 504234 756351 1512702 2269053 4538106