Search a number
-
+
444478040 = 23537300323
BaseRepresentation
bin11010011111100…
…011001001011000
31010222100211020122
4122133203021120
51402241244130
6112034412412
714005000226
oct3237431130
91128324218
10444478040
11208994a26
12104a31108
1371115476
1443061b16
152904c2e5
hex1a7e3258

444478040 has 32 divisors (see below), whose sum is σ = 1027108080. Its totient is φ = 172985472.

The previous prime is 444478033. The next prime is 444478043. The reversal of 444478040 is 40874444.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444478043) 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, 148682 + ... + 151641.

Almost surely, 2444478040 is an apocalyptic number.

444478040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444478040 is an abundant number, since it is smaller than the sum of its proper divisors (582630040).

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

444478040 is a wasteful number, since it uses less digits than its factorization.

444478040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300371 (or 300367 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 35.

The square root of 444478040 is about 21082.6478412936. The cubic root of 444478040 is about 763.1620565399.

The spelling of 444478040 in words is "four hundred forty-four million, four hundred seventy-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 300323 600646 1201292 1501615 2402584 3003230 6006460 11111951 12012920 22223902 44447804 55559755 88895608 111119510 222239020 444478040