Search a number
-
+
43828320 = 253591309
BaseRepresentation
bin1010011100110…
…0010001100000
310001110201011010
42213030101200
542210001240
64203220520
71041351234
oct247142140
9101421133
1043828320
1122815958
1212817740
139107223
145b6c5c4
153cab280
hex29cc460

43828320 has 48 divisors (see below), whose sum is σ = 138060720. Its totient is φ = 11687424.

The previous prime is 43828319. The next prime is 43828321. The reversal of 43828320 is 2382834.

It is an interprime number because it is at equal distance from previous prime (43828319) and next prime (43828321).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43828321) 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, 45175 + ... + 46134.

It is an arithmetic number, because the mean of its divisors is an integer number (2876265).

Almost surely, 243828320 is an apocalyptic number.

43828320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

43828320 is an abundant number, since it is smaller than the sum of its proper divisors (94232400).

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

43828320 is a wasteful number, since it uses less digits than its factorization.

43828320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91327 (or 91319 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 43828320 is about 6620.2960658871. The cubic root of 43828320 is about 352.5750758053.

The spelling of 43828320 in words is "forty-three million, eight hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 91309 182618 273927 365236 456545 547854 730472 913090 1095708 1369635 1460944 1826180 2191416 2739270 2921888 3652360 4382832 5478540 7304720 8765664 10957080 14609440 21914160 43828320