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63116442 = 23319227271
BaseRepresentation
bin1111000011000…
…1010010011010
311101202122111000
43300301102122
5112124211232
610132445430
71364323644
oct360612232
9141678430
1063116442
113269a354
1219179876
13100cb60c
14854d894
15581b27c
hex3c3149a

63116442 has 64 divisors (see below), whose sum is σ = 148838400. Its totient is φ = 19770480.

The previous prime is 63116429. The next prime is 63116447. The reversal of 63116442 is 24461136.

63116442 is a `hidden beast` number, since 6 + 3 + 11 + 644 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (63116447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232767 + ... + 233037.

It is an arithmetic number, because the mean of its divisors is an integer number (2325600).

Almost surely, 263116442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63116442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74419200).

63116442 is an abundant number, since it is smaller than the sum of its proper divisors (85721958).

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

63116442 is a wasteful number, since it uses less digits than its factorization.

63116442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 522 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 63116442 is about 7944.5857034839. The cubic root of 63116442 is about 398.1507177299.

Adding to 63116442 its reverse (24461136), we get a palindrome (87577578).

The spelling of 63116442 in words is "sixty-three million, one hundred sixteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 227 271 342 454 513 542 681 813 1026 1362 1626 2043 2439 4086 4313 4878 5149 6129 7317 8626 10298 12258 12939 14634 15447 25878 30894 38817 46341 61517 77634 92682 116451 123034 139023 184551 232902 278046 369102 553653 1107306 1168823 1660959 2337646 3321918 3506469 7012938 10519407 21038814 31558221 63116442