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415241442 = 2327111312287
BaseRepresentation
bin11000110000000…
…001010011100010
31001221100110011200
4120300001103202
51322300211232
6105112022030
713201331310
oct3060012342
91057313150
10415241442
111a3436050
12b7091916
1368049ac5
143d2110b0
15266c477c
hex18c014e2

415241442 has 96 divisors (see below), whose sum is σ = 1130747904. Its totient is φ = 106984800.

The previous prime is 415241429. The next prime is 415241501. The reversal of 415241442 is 244142514.

415241442 is a `hidden beast` number, since 415 + 241 + 4 + 4 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180423 + ... + 182709.

It is an arithmetic number, because the mean of its divisors is an integer number (11778624).

Almost surely, 2415241442 is an apocalyptic number.

415241442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 415241442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565373952).

415241442 is an abundant number, since it is smaller than the sum of its proper divisors (715506462).

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

415241442 is a wasteful number, since it uses less digits than its factorization.

415241442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 2441 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 415241442 is about 20377.4738866229. The cubic root of 415241442 is about 746.0482171203.

Adding to 415241442 its reverse (244142514), we get a palindrome (659383956).

The spelling of 415241442 in words is "four hundred fifteen million, two hundred forty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 131 154 198 231 262 393 462 693 786 917 1179 1386 1441 1834 2287 2358 2751 2882 4323 4574 5502 6861 8253 8646 10087 12969 13722 16009 16506 20174 20583 25157 25938 30261 32018 41166 48027 50314 60522 75471 90783 96054 144081 150942 176099 181566 226413 288162 299597 352198 452826 528297 599194 898791 1056594 1584891 1797582 2097179 2696373 3169782 3295567 4194358 5392746 6291537 6591134 9886701 12583074 18874611 19773402 23068969 29660103 37749222 46137938 59320206 69206907 138413814 207620721 415241442