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41255328 = 2531721487
BaseRepresentation
bin1001110101100…
…0000110100000
32212121222200010
42131120012200
541030132303
64032124520
71010443632
oct235300640
985558603
1041255328
1121318814
1211996740
13871604a
14569ca52
15394dc03
hex27581a0

41255328 has 72 divisors (see below), whose sum is σ = 115117632. Its totient is φ = 12934144.

The previous prime is 41255323. The next prime is 41255329. The reversal of 41255328 is 82355214.

41255328 = T52 + T53 + ... + T627.

It is a junction number, because it is equal to n+sod(n) for n = 41255295 and 41255304.

It is not an unprimeable number, because it can be changed into a prime (41255323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27001 + ... + 28487.

It is an arithmetic number, because the mean of its divisors is an integer number (1598856).

Almost surely, 241255328 is an apocalyptic number.

41255328 is a gapful number since it is divisible by the number (48) 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 41255328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57558816).

41255328 is an abundant number, since it is smaller than the sum of its proper divisors (73862304).

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

41255328 is a wasteful number, since it uses less digits than its factorization.

41255328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1509 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 41255328 is about 6423.0310601771. The cubic root of 41255328 is about 345.5360371167.

It can be divided in two parts, 4125 and 5328, that added together give a triangular number (9453 = T137).

The spelling of 41255328 in words is "forty-one million, two hundred fifty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 289 408 544 578 816 867 1156 1487 1632 1734 2312 2974 3468 4461 4624 5948 6936 8922 9248 11896 13872 17844 23792 25279 27744 35688 47584 50558 71376 75837 101116 142752 151674 202232 303348 404464 429743 606696 808928 859486 1213392 1289229 1718972 2426784 2578458 3437944 5156916 6875888 10313832 13751776 20627664 41255328