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41385645 = 325721372
BaseRepresentation
bin1001110111011…
…1111010101101
32212212121102200
42131313322231
541043320040
64035012113
71011525600
oct235677255
985777380
1041385645
11213a7714
1211a3a039
138760462
1456d4337
153977630
hex2777ead

41385645 has 54 divisors (see below), whose sum is σ = 84060522. Its totient is φ = 18781056.

The previous prime is 41385611. The next prime is 41385653. The reversal of 41385645 is 54658314.

It is a happy number.

41385645 is a `hidden beast` number, since 4 + 1 + 3 + 8 + 5 + 645 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6563844 + 34821801 = 2562^2 + 5901^2 .

It is not a de Polignac number, because 41385645 - 27 = 41385517 is a prime.

It is a super-3 number, since 3×413856453 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 302017 + ... + 302153.

Almost surely, 241385645 is an apocalyptic number.

41385645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41385645 is an abundant number, since it is smaller than the sum of its proper divisors (42674877).

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

41385645 is a wasteful number, since it uses less digits than its factorization.

41385645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 152 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 41385645 is about 6433.1675712669. The cubic root of 41385645 is about 345.8994801943.

The spelling of 41385645 in words is "forty-one million, three hundred eighty-five thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 137 147 245 315 411 441 685 735 959 1233 2055 2205 2877 4795 6165 6713 8631 14385 18769 20139 33565 43155 56307 60417 93845 100695 131383 168921 281535 302085 394149 656915 844605 919681 1182447 1970745 2759043 4598405 5912235 8277129 13795215 41385645