Search a number
-
+
44290880 = 265612269
BaseRepresentation
bin1010100011110…
…1001101000000
310002100012122222
42220331031000
542314302010
64221150212
71045315634
oct250751500
9102305588
1044290880
1123001437
12129bb368
13923992a
145c4cdc4
153d4d355
hex2a3d340

44290880 has 56 divisors (see below), whose sum is σ = 107243880. Its totient is φ = 17418240.

The previous prime is 44290871. The next prime is 44290889. The reversal of 44290880 is 8809244.

It is an interprime number because it is at equal distance from previous prime (44290871) and next prime (44290889).

It can be written as a sum of positive squares in 4 ways, for example, as 3125824 + 41165056 = 1768^2 + 6416^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 44290880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44290889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18386 + ... + 20654.

Almost surely, 244290880 is an apocalyptic number.

44290880 is a gapful number since it is divisible by the number (40) 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 44290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53621940).

44290880 is an abundant number, since it is smaller than the sum of its proper divisors (62953000).

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

44290880 is a wasteful number, since it uses less digits than its factorization.

44290880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 44290880 is about 6655.1393674363. The cubic root of 44290880 is about 353.8110858563.

The spelling of 44290880 in words is "forty-four million, two hundred ninety thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 160 244 305 320 488 610 976 1220 1952 2269 2440 3904 4538 4880 9076 9760 11345 18152 19520 22690 36304 45380 72608 90760 138409 145216 181520 276818 363040 553636 692045 726080 1107272 1384090 2214544 2768180 4429088 5536360 8858176 11072720 22145440 44290880