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1444253632 = 26173673617
BaseRepresentation
bin101011000010101…
…1000111111000000
310201122121200112021
41112011120333000
510424212104012
6355151211224
750534644663
oct12605307700
93648550467
101444253632
11681275148
12343816b14
131a02a4463
14d9b516da
1586bd7007
hex56158fc0

1444253632 has 56 divisors (see below), whose sum is σ = 3043635264. Its totient is φ = 677609472.

The previous prime is 1444253611. The next prime is 1444253633. The reversal of 1444253632 is 2363524441.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444253633) 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, 397488 + ... + 401104.

Almost surely, 21444253632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444253632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521817632).

1444253632 is an abundant number, since it is smaller than the sum of its proper divisors (1599381632).

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

1444253632 is a wasteful number, since it uses less digits than its factorization.

1444253632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4013 (or 4003 counting only the distinct ones).

The product of its digits is 69120, while the sum is 34.

The square root of 1444253632 is about 38003.3371166270. The cubic root of 1444253632 is about 1130.3540363503.

The spelling of 1444253632 in words is "one billion, four hundred forty-four million, two hundred fifty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 367 544 734 1088 1468 2936 3617 5872 6239 7234 11744 12478 14468 23488 24956 28936 49912 57872 61489 99824 115744 122978 199648 231488 245956 399296 491912 983824 1327439 1967648 2654878 3935296 5309756 10619512 21239024 22566463 42478048 45132926 84956096 90265852 180531704 361063408 722126816 1444253632