Search a number
-
+
644242446 = 232378771103
BaseRepresentation
bin100110011001100…
…101110000001110
31122220020220111100
4212121211300032
52304411224241
6143532203530
721651653601
oct4631456016
91586226440
10644242446
11300726981
1215b9095a6
13a3619463
14617c2338
153b85b9b6
hex26665c0e

644242446 has 48 divisors (see below), whose sum is σ = 1436520384. Its totient is φ = 208516032.

The previous prime is 644242381. The next prime is 644242451.

644242446 is a `hidden beast` number, since 644 + 2 + 4 + 2 + 4 + 4 + 6 = 666.

644242446 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 644242446.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 583531 + ... + 584633.

It is an arithmetic number, because the mean of its divisors is an integer number (29927508).

Almost surely, 2644242446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 644242446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718260192).

644242446 is an abundant number, since it is smaller than the sum of its proper divisors (792277938).

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

644242446 is a wasteful number, since it uses less digits than its factorization.

644242446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 2022 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The square root of 644242446 is about 25381.9314867880. The cubic root of 644242446 is about 863.6738657856.

The spelling of 644242446 in words is "six hundred forty-four million, two hundred forty-two thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 877 1103 1754 2206 2631 3309 5262 6618 7893 9927 15786 19854 32449 40811 64898 81622 97347 122433 194694 244866 292041 367299 584082 734598 967331 1934662 2901993 5803986 8705979 17411958 35791247 71582494 107373741 214747482 322121223 644242446