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41144292 = 22327433797
BaseRepresentation
bin1001110011110…
…0111111100100
32212102100100200
42130330333210
541013104132
64025510500
71006502130
oct234747744
985370320
1041144292
1121252352
1211942430
1386a7647
1456703c0
15392ad7c
hex273cfe4

41144292 has 72 divisors (see below), whose sum is σ = 121657536. Its totient is φ = 11479104.

The previous prime is 41144273. The next prime is 41144303. The reversal of 41144292 is 29244114.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 8938 + ... + 12734.

It is an arithmetic number, because the mean of its divisors is an integer number (1689688).

Almost surely, 241144292 is an apocalyptic number.

41144292 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41144292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60828768).

41144292 is an abundant number, since it is smaller than the sum of its proper divisors (80513244).

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

41144292 is a wasteful number, since it uses less digits than its factorization.

41144292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3857 (or 3852 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 41144292 is about 6414.3816537528. The cubic root of 41144292 is about 345.2257627551.

The spelling of 41144292 in words is "forty-one million, one hundred forty-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 516 602 774 903 1204 1548 1806 2709 3612 3797 5418 7594 10836 11391 15188 22782 26579 34173 45564 53158 68346 79737 106316 136692 159474 163271 239211 318948 326542 478422 489813 653084 956844 979626 1142897 1469439 1959252 2285794 2938878 3428691 4571588 5877756 6857382 10286073 13714764 20572146 41144292