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44916444 = 2234157883
BaseRepresentation
bin1010101101010…
…1111011011100
310010111222210000
42223111323130
542444311234
64242414300
71053532506
oct253257334
9103458700
1044916444
1123399431
1213061390
1393c85a1
145d72d76
153e23899
hex2ad5edc

44916444 has 60 divisors (see below), whose sum is σ = 118302184. Its totient is φ = 14859936.

The previous prime is 44916433. The next prime is 44916449. The reversal of 44916444 is 44461944.

44916444 is a `hidden beast` number, since 4 + 4 + 9 + 1 + 644 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 44916399 and 44916408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44916449) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50427 + ... + 51309.

Almost surely, 244916444 is an apocalyptic number.

44916444 is the 4239-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44916444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59151092).

44916444 is an abundant number, since it is smaller than the sum of its proper divisors (73385740).

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

44916444 is a wasteful number, since it uses less digits than its factorization.

44916444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1045 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 44916444 is about 6701.9731422918. The cubic root of 44916444 is about 355.4690460684.

The spelling of 44916444 in words is "forty-four million, nine hundred sixteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 157 162 314 324 471 628 883 942 1413 1766 1884 2649 2826 3532 4239 5298 5652 7947 8478 10596 12717 15894 16956 23841 25434 31788 47682 50868 71523 95364 138631 143046 277262 286092 415893 554524 831786 1247679 1663572 2495358 3743037 4990716 7486074 11229111 14972148 22458222 44916444