[go: up one dir, main page]

Search a number
-
+
41052042 = 23317197227
BaseRepresentation
bin1001110010011…
…0011110001010
32212020122211000
42130212132022
541002131132
64023515430
71005636153
oct234463612
985218730
1041052042
112119a009
12118b8b76
138674665
14564892a
15390d87c
hex272678a

41052042 has 64 divisors (see below), whose sum is σ = 97511040. Its totient is φ = 12757248.

The previous prime is 41052041. The next prime is 41052043. The reversal of 41052042 is 24025014.

41052042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41052041) and next prime (41052043).

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

It is not an unprimeable number, because it can be changed into a prime (41052041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180733 + ... + 180959.

It is an arithmetic number, because the mean of its divisors is an integer number (1523610).

Almost surely, 241052042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41052042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48755520).

41052042 is an abundant number, since it is smaller than the sum of its proper divisors (56458998).

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

41052042 is a wasteful number, since it uses less digits than its factorization.

41052042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 41052042 is about 6407.1867461469. The cubic root of 41052042 is about 344.9675583862.

Adding to 41052042 its reverse (24025014), we get a palindrome (65077056).

The spelling of 41052042 in words is "forty-one million, fifty-two thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 197 227 306 394 454 459 591 681 918 1182 1362 1773 2043 3349 3546 3859 4086 5319 6129 6698 7718 10047 10638 11577 12258 20094 23154 30141 34731 44719 60282 69462 89438 90423 104193 134157 180846 208386 268314 402471 760223 804942 1207413 1520446 2280669 2414826 4561338 6842007 13684014 20526021 41052042