Search a number
-
+
44869760 = 275135393
BaseRepresentation
bin1010101100101…
…0100010000000
310010102121201222
42223022202000
542441313020
64241414212
71053246425
oct253124200
9103377658
1044869760
1123367351
121303a368
1393b0270
145d5dd4c
153e14b25
hex2aca880

44869760 has 64 divisors (see below), whose sum is σ = 115539480. Its totient is φ = 16564224.

The previous prime is 44869753. The next prime is 44869763. The reversal of 44869760 is 6796844.

It can be written as a sum of positive squares in 4 ways, for example, as 38837824 + 6031936 = 6232^2 + 2456^2 .

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

It is not an unprimeable number, because it can be changed into a prime (44869763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5624 + ... + 11016.

Almost surely, 244869760 is an apocalyptic number.

44869760 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 44869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57769740).

44869760 is an abundant number, since it is smaller than the sum of its proper divisors (70669720).

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

44869760 is a wasteful number, since it uses less digits than its factorization.

44869760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5425 (or 5413 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 44869760 is about 6698.4893819428. The cubic root of 44869760 is about 355.3458508787.

The spelling of 44869760 in words is "forty-four million, eight hundred sixty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 5393 8320 10786 21572 26965 43144 53930 70109 86288 107860 140218 172576 215720 280436 345152 350545 431440 560872 690304 701090 862880 1121744 1402180 1725760 2243488 2804360 3451520 4486976 5608720 8973952 11217440 22434880 44869760