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41264532 = 2233419319
BaseRepresentation
bin1001110101101…
…0010110010100
32212122110022000
42131122112110
541030431112
64032235300
71010512521
oct235322624
985573260
1041264532
1121324721
121199bb30
13871a2aa
1456a2148
1539517dc
hex275a594

41264532 has 48 divisors (see below), whose sum is σ = 109603200. Its totient is φ = 13417920.

The previous prime is 41264521. The next prime is 41264539. The reversal of 41264532 is 23546214.

41264532 is a `hidden beast` number, since 4 + 12 + 645 + 3 + 2 = 666.

41264532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 41264496 and 41264505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41264539) 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 15 ways as a sum of consecutive naturals, for example, 232 + ... + 9087.

It is an arithmetic number, because the mean of its divisors is an integer number (2283400).

Almost surely, 241264532 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 41264532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54801600).

41264532 is an abundant number, since it is smaller than the sum of its proper divisors (68338668).

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

41264532 is a wasteful number, since it uses less digits than its factorization.

41264532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9373 (or 9365 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 41264532 is about 6423.7475043778. The cubic root of 41264532 is about 345.5617313915.

The spelling of 41264532 in words is "forty-one million, two hundred sixty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 4428 9319 18638 27957 37276 55914 83871 111828 167742 251613 335484 382079 503226 764158 1006452 1146237 1528316 2292474 3438711 4584948 6877422 10316133 13754844 20632266 41264532