Search a number
-
+
44215424 = 2711311013
BaseRepresentation
bin1010100010101…
…0110010000000
310002012101011022
42220222302000
542304343144
64215405012
71044552641
oct250526200
9102171138
1044215424
1122a5a780
1212983768
139211496
145c2d6c8
153d35cee
hex2a2ac80

44215424 has 64 divisors (see below), whose sum is σ = 99290880. Its totient is φ = 19430400.

The previous prime is 44215417. The next prime is 44215433. The reversal of 44215424 is 42451244.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 44215393 and 44215402.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43142 + ... + 44154.

It is an arithmetic number, because the mean of its divisors is an integer number (1551420).

Almost surely, 244215424 is an apocalyptic number.

44215424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44215424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49645440).

44215424 is an abundant number, since it is smaller than the sum of its proper divisors (55075456).

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

44215424 is a wasteful number, since it uses less digits than its factorization.

44215424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1057 counting only the distinct ones).

The product of its digits is 5120, while the sum is 26.

The square root of 44215424 is about 6649.4679486407. The cubic root of 44215424 is about 353.6100486487.

Adding to 44215424 its reverse (42451244), we get a palindrome (86666668).

The spelling of 44215424 in words is "forty-four million, two hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 341 352 496 682 704 992 1013 1364 1408 1984 2026 2728 3968 4052 5456 8104 10912 11143 16208 21824 22286 31403 32416 43648 44572 62806 64832 89144 125612 129664 178288 251224 345433 356576 502448 690866 713152 1004896 1381732 1426304 2009792 2763464 4019584 5526928 11053856 22107712 44215424