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41412735 = 3357133371
BaseRepresentation
bin1001110111111…
…0100001111111
32212220222121000
42131332201333
541100201420
64035341343
71012000560
oct235764177
985828530
1041412735
1121416001
1211a51853
13876c8a0
145700167
153980690
hex277e87f

41412735 has 64 divisors (see below), whose sum is σ = 90639360. Its totient is φ = 17470080.

The previous prime is 41412691. The next prime is 41412737. The reversal of 41412735 is 53721414.

It is not a de Polignac number, because 41412735 - 26 = 41412671 is a prime.

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 = 41412699 and 41412708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41412737) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10600 + ... + 13970.

It is an arithmetic number, because the mean of its divisors is an integer number (1416240).

Almost surely, 241412735 is an apocalyptic number.

41412735 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

41412735 is an abundant number, since it is smaller than the sum of its proper divisors (49226625).

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

41412735 is a wasteful number, since it uses less digits than its factorization.

41412735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3405 (or 3399 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 41412735 is about 6435.2727214936. The cubic root of 41412735 is about 345.9749360930.

The spelling of 41412735 in words is "forty-one million, four hundred twelve thousand, seven hundred thirty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 91 105 117 135 189 195 273 315 351 455 585 819 945 1365 1755 2457 3371 4095 10113 12285 16855 23597 30339 43823 50565 70791 91017 117985 131469 151695 212373 219115 306761 353955 394407 455085 637119 657345 920283 1061865 1183221 1533805 1972035 2760849 3185595 4601415 5916105 8282547 13804245 41412735