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44107146 = 23317232089
BaseRepresentation
bin1010100001000…
…0010110001010
310001222212122000
42220100112022
542242412041
64213211430
71043622156
oct250202612
9101885560
1044107146
1122996396
1212930b76
1391a4105
145c02066
153d13bb6
hex2a1058a

44107146 has 64 divisors (see below), whose sum is σ = 108345600. Its totient is φ = 13229568.

The previous prime is 44107127. The next prime is 44107157. The reversal of 44107146 is 64170144.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20070 + ... + 22158.

It is an arithmetic number, because the mean of its divisors is an integer number (1692900).

Almost surely, 244107146 is an apocalyptic number.

44107146 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 44107146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54172800).

44107146 is an abundant number, since it is smaller than the sum of its proper divisors (64238454).

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

44107146 is a wasteful number, since it uses less digits than its factorization.

44107146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 44107146 is about 6641.3211035155. The cubic root of 44107146 is about 353.3211638940.

It can be divided in two parts, 44107 and 146, that added together give a triangular number (44253 = T297).

The spelling of 44107146 in words is "forty-four million, one hundred seven thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 69 102 138 153 207 306 391 414 459 621 782 918 1173 1242 2089 2346 3519 4178 6267 7038 10557 12534 18801 21114 35513 37602 48047 56403 71026 96094 106539 112806 144141 213078 288282 319617 432423 639234 816799 864846 958851 1297269 1633598 1917702 2450397 2594538 4900794 7351191 14702382 22053573 44107146