Search a number
-
+
41626032 = 2437123887
BaseRepresentation
bin1001111011001…
…0100110110000
32220022211011220
42132302212300
541124013112
64044105040
71013546460
oct236624660
986284156
1041626032
1121551288
1211b35180
1388159b6
145757ba0
1539c398c
hex27b29b0

41626032 has 40 divisors (see below), whose sum is σ = 122896896. Its totient is φ = 11893056.

The previous prime is 41626027. The next prime is 41626037. The reversal of 41626032 is 23062614.

41626032 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 (41626027) and next prime (41626037).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 41625993 and 41626011.

It is not an unprimeable number, because it can be changed into a prime (41626037) 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 7 ways as a sum of consecutive naturals, for example, 61608 + ... + 62279.

Almost surely, 241626032 is an apocalyptic number.

41626032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

41626032 is an abundant number, since it is smaller than the sum of its proper divisors (81270864).

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

41626032 is a wasteful number, since it uses less digits than its factorization.

41626032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123905 (or 123899 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 41626032 is about 6451.8239281617. The cubic root of 41626032 is about 346.5679025028.

Adding to 41626032 its reverse (23062614), we get a palindrome (64688646).

The spelling of 41626032 in words is "forty-one million, six hundred twenty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 123887 247774 371661 495548 743322 867209 991096 1486644 1734418 1982192 2601627 2973288 3468836 5203254 5946576 6937672 10406508 13875344 20813016 41626032