Search a number
-
+
44643768 = 233131719443
BaseRepresentation
bin1010101001001…
…1010110111000
310010000010201220
42222103112320
542412100033
64232512040
71051315521
oct252232670
9103003656
1044643768
1123222584
1212b4b620
139331440
145d01848
153dbcbb3
hex2a935b8

44643768 has 128 divisors (see below), whose sum is σ = 134265600. Its totient is φ = 12220416.

The previous prime is 44643763. The next prime is 44643773. The reversal of 44643768 is 86734644.

44643768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (44643763) and next prime (44643773).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44643763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100555 + ... + 100997.

It is an arithmetic number, because the mean of its divisors is an integer number (1048950).

Almost surely, 244643768 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 44643768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67132800).

44643768 is an abundant number, since it is smaller than the sum of its proper divisors (89621832).

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

44643768 is a wasteful number, since it uses less digits than its factorization.

44643768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 497 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 44643768 is about 6681.5992097701. The cubic root of 44643768 is about 354.7482656264.

The spelling of 44643768 in words is "forty-four million, six hundred forty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 17 19 24 26 34 38 39 51 52 57 68 76 78 102 104 114 136 152 156 204 221 228 247 312 323 408 442 443 456 494 646 663 741 884 886 969 988 1292 1326 1329 1482 1768 1772 1938 1976 2584 2652 2658 2964 3544 3876 4199 5304 5316 5759 5928 7531 7752 8398 8417 10632 11518 12597 15062 16796 16834 17277 22593 23036 25194 25251 30124 33592 33668 34554 45186 46072 50388 50502 60248 67336 69108 90372 97903 100776 101004 109421 138216 143089 180744 195806 202008 218842 286178 293709 328263 391612 429267 437684 572356 587418 656526 783224 858534 875368 1144712 1174836 1313052 1717068 1860157 2349672 2626104 3434136 3720314 5580471 7440628 11160942 14881256 22321884 44643768