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440189712 = 24324576689
BaseRepresentation
bin11010001111001…
…100001100010000
31010200021221202200
4122033030030100
51400142032322
6111402443200
713623356634
oct3217141420
91120257680
10440189712
11206526056
12103503500
13702735b1
1442666dc4
15289a18ac
hex1a3cc310

440189712 has 60 divisors (see below), whose sum is σ = 1234800060. Its totient is φ = 146386944.

The previous prime is 440189707. The next prime is 440189713. The reversal of 440189712 is 217981044.

It can be written as a sum of positive squares in 2 ways, for example, as 374190336 + 65999376 = 19344^2 + 8124^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440189713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62464 + ... + 69152.

It is an arithmetic number, because the mean of its divisors is an integer number (20580001).

Almost surely, 2440189712 is an apocalyptic number.

It is an amenable number.

440189712 is an abundant number, since it is smaller than the sum of its proper divisors (794610348).

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

440189712 is a wasteful number, since it uses less digits than its factorization.

440189712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7160 (or 7151 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 440189712 is about 20980.6985584370. The cubic root of 440189712 is about 760.6997894329.

The spelling of 440189712 in words is "four hundred forty million, one hundred eighty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 457 914 1371 1828 2742 3656 4113 5484 6689 7312 8226 10968 13378 16452 20067 21936 26756 32904 40134 53512 60201 65808 80268 107024 120402 160536 240804 321072 481608 963216 3056873 6113746 9170619 12227492 18341238 24454984 27511857 36682476 48909968 55023714 73364952 110047428 146729904 220094856 440189712