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41579685 = 32572109173
BaseRepresentation
bin1001111010011…
…1010010100101
32220020110121100
42132213102211
541121022220
64043110313
71013264400
oct236472245
986213540
1041579685
112151a484
1211b12399
1387ca884
145744d37
1539b4d90
hex27a74a5

41579685 has 72 divisors (see below), whose sum is σ = 85096440. Its totient is φ = 18724608.

The previous prime is 41579683. The next prime is 41579689. The reversal of 41579685 is 58697514.

It can be written as a sum of positive squares in 4 ways, for example, as 15752961 + 25826724 = 3969^2 + 5082^2 .

It is not a de Polignac number, because 41579685 - 21 = 41579683 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 41579685.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41579683) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 240259 + ... + 240431.

It is an arithmetic number, because the mean of its divisors is an integer number (1181895).

Almost surely, 241579685 is an apocalyptic number.

41579685 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41579685 is an abundant number, since it is smaller than the sum of its proper divisors (43516755).

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

41579685 is a wasteful number, since it uses less digits than its factorization.

41579685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 297 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 41579685 is about 6448.2311528046. The cubic root of 41579685 is about 346.4392302365.

The spelling of 41579685 in words is "forty-one million, five hundred seventy-nine thousand, six hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 109 147 173 245 315 327 441 519 545 735 763 865 981 1211 1557 1635 2205 2289 2595 3633 3815 4905 5341 6055 6867 7785 8477 10899 11445 16023 18165 18857 25431 26705 34335 42385 48069 54495 56571 76293 80115 94285 127155 131999 169713 240345 282855 381465 395997 659995 848565 923993 1187991 1979985 2771979 4619965 5939955 8315937 13859895 41579685