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4538240 = 27571013
BaseRepresentation
bin10001010011111110000000
322112120021222
4101103332000
52130210430
6241134212
753401010
oct21237600
98476258
104538240
11261a713
12162a368
13c2b865
14861c40
155e99e5
hex453f80

4538240 has 64 divisors (see below), whose sum is σ = 12411360. Its totient is φ = 1554432.

The previous prime is 4538227. The next prime is 4538243. The reversal of 4538240 is 428354.

4538240 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4538243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3974 + ... + 4986.

Almost surely, 24538240 is an apocalyptic number.

4538240 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 4538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6205680).

4538240 is an abundant number, since it is smaller than the sum of its proper divisors (7873120).

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

4538240 is a wasteful number, since it uses less digits than its factorization.

4538240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 4538240 is about 2130.3145307677. The cubic root of 4538240 is about 165.5626947326.

The spelling of 4538240 in words is "four million, five hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1013 1120 2026 2240 4052 4480 5065 7091 8104 10130 14182 16208 20260 28364 32416 35455 40520 56728 64832 70910 81040 113456 129664 141820 162080 226912 283640 324160 453824 567280 648320 907648 1134560 2269120 4538240