Search a number
-
+
44107416 = 23372521
BaseRepresentation
bin1010100001000…
…0011010011000
310001222220000000
42220100122120
542242414131
64213213000
71043623023
oct250203230
9101886000
1044107416
1122996611
1212931160
1391a4282
145c021ba
153d13ce6
hex2a10698

44107416 has 64 divisors (see below), whose sum is σ = 124082400. Its totient is φ = 14696640.

The previous prime is 44107411. The next prime is 44107447. The reversal of 44107416 is 61470144.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 44107416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44107411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16236 + ... + 18756.

Almost surely, 244107416 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 44107416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62041200).

44107416 is an abundant number, since it is smaller than the sum of its proper divisors (79974984).

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

44107416 is an equidigital number, since it uses as much as digits as its factorization.

44107416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 44107416 is about 6641.3414307653. The cubic root of 44107416 is about 353.3218848393.

The spelling of 44107416 in words is "forty-four million, one hundred seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2521 2916 4374 5042 5832 7563 8748 10084 15126 17496 20168 22689 30252 45378 60504 68067 90756 136134 181512 204201 272268 408402 544536 612603 816804 1225206 1633608 1837809 2450412 3675618 4900824 5513427 7351236 11026854 14702472 22053708 44107416