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481866112 = 27713411009
BaseRepresentation
bin11100101110001…
…011000110000000
31020120201100001001
4130232023012000
51441324203422
6115452021344
714640536320
oct3456130600
91216640031
10481866112
11228001162
12115461854
1378aa61a0
1447dd5280
152c485227
hex1cb8b180

481866112 has 128 divisors (see below), whose sum is σ = 1211515200. Its totient is φ = 185794560.

The previous prime is 481866103. The next prime is 481866113. The reversal of 481866112 is 211668184.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481866113) 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, 477064 + ... + 478072.

Almost surely, 2481866112 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 481866112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605757600).

481866112 is an abundant number, since it is smaller than the sum of its proper divisors (729649088).

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

481866112 is a wasteful number, since it uses less digits than its factorization.

481866112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1072 counting only the distinct ones).

The product of its digits is 18432, while the sum is 37.

The square root of 481866112 is about 21951.4489726760. The cubic root of 481866112 is about 783.9868802469.

The spelling of 481866112 in words is "four hundred eighty-one million, eight hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 41 52 56 64 82 91 104 112 128 164 182 208 224 287 328 364 416 448 533 574 656 728 832 896 1009 1066 1148 1312 1456 1664 2018 2132 2296 2624 2912 3731 4036 4264 4592 5248 5824 7063 7462 8072 8528 9184 11648 13117 14126 14924 16144 17056 18368 26234 28252 29848 32288 34112 36736 41369 52468 56504 59696 64576 68224 82738 91819 104936 113008 119392 129152 165476 183638 209872 226016 238784 289583 330952 367276 419744 452032 477568 537797 579166 661904 734552 839488 904064 1075594 1158332 1323808 1469104 1678976 2151188 2316664 2647616 2938208 3764579 4302376 4633328 5295232 5876416 7529158 8604752 9266656 11752832 15058316 17209504 18533312 30116632 34419008 37066624 60233264 68838016 120466528 240933056 481866112