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412221042 = 23323615441
BaseRepresentation
bin11000100100011…
…111111001110010
31001201122222222000
4120210133321302
51321012033132
6104523154430
713133551422
oct3044377162
91051588860
10412221042
111a1762852
12b6075a16
136753009c
143ca66482
15262c987c
hex1891fe72

412221042 has 64 divisors (see below), whose sum is σ = 971723520. Its totient is φ = 129254400.

The previous prime is 412221013. The next prime is 412221053. The reversal of 412221042 is 240122214.

412221042 is a `hidden beast` number, since 412 + 2 + 210 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73042 + ... + 78482.

It is an arithmetic number, because the mean of its divisors is an integer number (15183180).

Almost surely, 2412221042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412221042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485861760).

412221042 is an abundant number, since it is smaller than the sum of its proper divisors (559502478).

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

412221042 is a wasteful number, since it uses less digits than its factorization.

412221042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5536 (or 5530 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 412221042 is about 20303.2273789169. The cubic root of 412221042 is about 744.2349349113.

Adding to 412221042 its reverse (240122214), we get a palindrome (652343256).

The spelling of 412221042 in words is "four hundred twelve million, two hundred twenty-one thousand, forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 61 69 122 138 183 207 366 414 549 621 1098 1242 1403 1647 2806 3294 4209 5441 8418 10882 12627 16323 25254 32646 37881 48969 75762 97938 125143 146907 250286 293814 331901 375429 663802 750858 995703 1126287 1991406 2252574 2987109 3378861 5974218 6757722 7633723 8961327 15267446 17922654 22901169 45802338 68703507 137407014 206110521 412221042