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44100414 = 23217314649
BaseRepresentation
bin1010100000111…
…0101100111110
310001222112101200
42220032230332
542242203124
64213120330
71043563431
oct250165476
9101875350
1044100414
1122991326
12129290a6
1391a1027
145bdd818
153d11bc9
hex2a0eb3e

44100414 has 48 divisors (see below), whose sum is σ = 104457600. Its totient is φ = 13386240.

The previous prime is 44100403. The next prime is 44100439. The reversal of 44100414 is 41400144.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7162 + ... + 11810.

It is an arithmetic number, because the mean of its divisors is an integer number (2176200).

Almost surely, 244100414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44100414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52228800).

44100414 is an abundant number, since it is smaller than the sum of its proper divisors (60357186).

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

44100414 is a wasteful number, since it uses less digits than its factorization.

44100414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4705 (or 4702 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 44100414 is about 6640.8142573031. The cubic root of 44100414 is about 353.3031873731.

Adding to 44100414 its reverse (41400144), we get a palindrome (85500558).

The spelling of 44100414 in words is "forty-four million, one hundred thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 279 306 527 558 1054 1581 3162 4649 4743 9298 9486 13947 27894 41841 79033 83682 144119 158066 237099 288238 432357 474198 711297 864714 1297071 1422594 2450023 2594142 4900046 7350069 14700138 22050207 44100414