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63487112 = 231317149241
BaseRepresentation
bin1111001000101…
…1110010001000
311102110110221112
43302023302020
5112223041422
610144425452
71400426423
oct362136210
9142413845
1063487112
1132922897
1219318288
13101cb250
1486089ba
155890ee2
hex3c8bc88

63487112 has 64 divisors (see below), whose sum is σ = 137214000. Its totient is φ = 27279360.

The previous prime is 63487111. The next prime is 63487181. The reversal of 63487112 is 21178436.

It can be written as a sum of positive squares in 8 ways, for example, as 23367556 + 40119556 = 4834^2 + 6334^2 .

It is a super-2 number, since 2×634871122 = 8061226780201088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (63487111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263312 + ... + 263552.

Almost surely, 263487112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63487112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68607000).

63487112 is an abundant number, since it is smaller than the sum of its proper divisors (73726888).

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

63487112 is a wasteful number, since it uses less digits than its factorization.

63487112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 422 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 63487112 is about 7967.8800191770. The cubic root of 63487112 is about 398.9286162375.

The spelling of 63487112 in words is "sixty-three million, four hundred eighty-seven thousand, one hundred twelve".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 149 221 241 298 442 482 596 884 964 1192 1768 1928 1937 2533 3133 3874 4097 5066 6266 7748 8194 10132 12532 15496 16388 20264 25064 32776 32929 35909 53261 65858 71818 106522 131716 143636 213044 263432 287272 426088 466817 610453 933634 1220906 1867268 2441812 3734536 4883624 7935889 15871778 31743556 63487112