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41490468 = 2234373461
BaseRepresentation
bin1001111001000…
…1100000100100
32220001221020000
42132101200210
541110143333
64041141300
71012443315
oct236214044
986057200
1041490468
1121469448
1211a8a830
138799096
14572060c
153998713
hex2791824

41490468 has 60 divisors (see below), whose sum is σ = 111427932. Its totient is φ = 13452480.

The previous prime is 41490457. The next prime is 41490469. The reversal of 41490468 is 86409414.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23444964 + 18045504 = 4842^2 + 4248^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41490469) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10258 + ... + 13718.

Almost surely, 241490468 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 41490468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55713966).

41490468 is an abundant number, since it is smaller than the sum of its proper divisors (69937464).

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

41490468 is a wasteful number, since it uses less digits than its factorization.

41490468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3514 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 41490468 is about 6441.3094941945. The cubic root of 41490468 is about 346.1912693899.

The spelling of 41490468 in words is "forty-one million, four hundred ninety thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1998 2997 3461 3996 5994 6922 10383 11988 13844 20766 31149 41532 62298 93447 124596 128057 186894 256114 280341 373788 384171 512228 560682 768342 1121364 1152513 1536684 2305026 3457539 4610052 6915078 10372617 13830156 20745234 41490468