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41031328 = 2513531861
BaseRepresentation
bin1001110010000…
…1011010100000
32212012121101211
42130201122200
541001000303
64023235504
71005521602
oct234413240
985177354
1041031328
1121185498
12118a8b94
1386680c0
145641172
15390766d
hex27216a0

41031328 has 48 divisors (see below), whose sum is σ = 88683336. Its totient is φ = 18570240.

The previous prime is 41031323. The next prime is 41031337. The reversal of 41031328 is 82313014.

It can be written as a sum of positive squares in 4 ways, for example, as 17875984 + 23155344 = 4228^2 + 4812^2 .

It is a junction number, because it is equal to n+sod(n) for n = 41031299 and 41031308.

It is not an unprimeable number, because it can be changed into a prime (41031323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21118 + ... + 22978.

Almost surely, 241031328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41031328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44341668).

41031328 is an abundant number, since it is smaller than the sum of its proper divisors (47652008).

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

41031328 is a wasteful number, since it uses less digits than its factorization.

41031328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 41031328 is about 6405.5700761134. The cubic root of 41031328 is about 344.9095274914.

The spelling of 41031328 in words is "forty-one million, thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 53 104 106 208 212 416 424 689 848 1378 1696 1861 2756 3722 5512 7444 11024 14888 22048 24193 29776 48386 59552 96772 98633 193544 197266 387088 394532 774176 789064 1282229 1578128 2564458 3156256 5128916 10257832 20515664 41031328