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4538040 = 2335132909
BaseRepresentation
bin10001010011111010111000
322112120000120
4101103322320
52130204130
6241133240
753400303
oct21237270
98476016
104538040
11261a551
12162a220
13c2b740
14861b3a
155e9910
hex453eb8

4538040 has 64 divisors (see below), whose sum is σ = 14666400. Its totient is φ = 1116672.

The previous prime is 4538033. The next prime is 4538041. The reversal of 4538040 is 408354.

It is a happy number.

4538040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4538040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4538041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106 + ... + 3014.

Almost surely, 24538040 is an apocalyptic number.

4538040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4538040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7333200).

4538040 is an abundant number, since it is smaller than the sum of its proper divisors (10128360).

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

4538040 is a wasteful number, since it uses less digits than its factorization.

4538040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4538040 is about 2130.2675888254. The cubic root of 4538040 is about 165.5602625837.

The spelling of 4538040 in words is "four million, five hundred thirty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 2909 5818 8727 11636 14545 17454 23272 29090 34908 37817 43635 58180 69816 75634 87270 113451 116360 151268 174540 189085 226902 302536 349080 378170 453804 567255 756340 907608 1134510 1512680 2269020 4538040