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44442816 = 2631121913
BaseRepresentation
bin1010100110001…
…0010011000000
310002121221002020
42221202103000
542334132231
64224321440
71046520615
oct251422300
9102557066
1044442816
11230a5600
1212a73280
139290b32
145c8c50c
153d7d396
hex2a624c0

44442816 has 84 divisors (see below), whose sum is σ = 129317496. Its totient is φ = 13460480.

The previous prime is 44442791. The next prime is 44442821. The reversal of 44442816 is 61824444.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22276 + ... + 24188.

It is an arithmetic number, because the mean of its divisors is an integer number (1539494).

Almost surely, 244442816 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 44442816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64658748).

44442816 is an abundant number, since it is smaller than the sum of its proper divisors (84874680).

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

44442816 is a wasteful number, since it uses less digits than its factorization.

44442816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1929 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 44442816 is about 6666.5445322146. The cubic root of 44442816 is about 354.2151968069.

It can be divided in two parts, 444428 and 16, that added together give a palindrome (444444).

The spelling of 44442816 in words is "forty-four million, four hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 242 264 352 363 484 528 704 726 968 1056 1452 1913 1936 2112 2904 3826 3872 5739 5808 7652 7744 11478 11616 15304 21043 22956 23232 30608 42086 45912 61216 63129 84172 91824 122432 126258 168344 183648 231473 252516 336688 367296 462946 505032 673376 694419 925892 1010064 1346752 1388838 1851784 2020128 2777676 3703568 4040256 5555352 7407136 11110704 14814272 22221408 44442816