Search a number
-
+
44768040 = 2335537039
BaseRepresentation
bin1010101011000…
…1101100101000
310010020110012120
42222301230220
542430034130
64235311240
71052344032
oct252615450
9103213176
1044768040
11232a7989
1212bab520
139375b85
145d34c52
153de4910
hex2ab1b28

44768040 has 64 divisors (see below), whose sum is σ = 136857600. Its totient is φ = 11711232.

The previous prime is 44768033. The next prime is 44768057. The reversal of 44768040 is 4086744.

It is a junction number, because it is equal to n+sod(n) for n = 44767992 and 44768010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2841 + ... + 9879.

It is an arithmetic number, because the mean of its divisors is an integer number (2138400).

Almost surely, 244768040 is an apocalyptic number.

44768040 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 44768040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68428800).

44768040 is an abundant number, since it is smaller than the sum of its proper divisors (92089560).

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

44768040 is a wasteful number, since it uses less digits than its factorization.

44768040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7106 (or 7102 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 44768040 is about 6690.8923171727. The cubic root of 44768040 is about 355.0771240225.

The spelling of 44768040 in words is "forty-four million, seven hundred sixty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 6360 7039 14078 21117 28156 35195 42234 56312 70390 84468 105585 140780 168936 211170 281560 373067 422340 746134 844680 1119201 1492268 1865335 2238402 2984536 3730670 4476804 5596005 7461340 8953608 11192010 14922680 22384020 44768040