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44082126 = 23211251887
BaseRepresentation
bin1010100000101…
…0001111001110
310001221121022100
42220022033032
542241112001
64212455530
71043456214
oct250121716
9101847270
1044082126
1122979610
121291a5a6
1391958ca
145bd6cb4
153d0b586
hex2a0a3ce

44082126 has 48 divisors (see below), whose sum is σ = 104727168. Its totient is φ = 13290000.

The previous prime is 44082121. The next prime is 44082131. The reversal of 44082126 is 62128044.

44082126 is a `hidden beast` number, since 440 + 8 + 212 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (44082121) and next prime (44082131).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 44082126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44082121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49255 + ... + 50141.

It is an arithmetic number, because the mean of its divisors is an integer number (2181816).

Almost surely, 244082126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44082126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52363584).

44082126 is an abundant number, since it is smaller than the sum of its proper divisors (60645042).

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

44082126 is a wasteful number, since it uses less digits than its factorization.

44082126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 44082126 is about 6639.4371749419. The cubic root of 44082126 is about 353.2543435230.

The spelling of 44082126 in words is "forty-four million, eighty-two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 251 502 753 887 1506 1774 2259 2661 2761 4518 5322 5522 7983 8283 9757 15966 16566 19514 24849 29271 49698 58542 87813 175626 222637 445274 667911 1335822 2003733 2449007 4007466 4898014 7347021 14694042 22041063 44082126