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427996968 = 233723531031
BaseRepresentation
bin11001100000101…
…011011100101000
31002211100111110120
4121200223130220
51334031400333
6110245243240
713414625400
oct3140533450
91084314416
10427996968
111aa658503
12bb403520
136a894959
1440bb1800
1527893db3
hex1982b728

427996968 has 96 divisors (see below), whose sum is σ = 1249421760. Its totient is φ = 121820160.

The previous prime is 427996963. The next prime is 427996969. The reversal of 427996968 is 869699724.

It is not an unprimeable number, because it can be changed into a prime (427996963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414613 + ... + 415643.

It is an arithmetic number, because the mean of its divisors is an integer number (13014810).

Almost surely, 2427996968 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 427996968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624710880).

427996968 is an abundant number, since it is smaller than the sum of its proper divisors (821424792).

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

427996968 is a wasteful number, since it uses less digits than its factorization.

427996968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1396 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 60.

The square root of 427996968 is about 20688.0875868216. The cubic root of 427996968 is about 753.6104247772.

The spelling of 427996968 in words is "four hundred twenty-seven million, nine hundred ninety-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 353 392 588 706 1031 1059 1176 1412 2062 2118 2471 2824 3093 4124 4236 4942 6186 7217 7413 8248 8472 9884 12372 14434 14826 17297 19768 21651 24744 28868 29652 34594 43302 50519 51891 57736 59304 69188 86604 101038 103782 138376 151557 173208 202076 207564 303114 363943 404152 415128 606228 727886 1091829 1212456 1455772 2183658 2547601 2911544 4367316 5095202 7642803 8734632 10190404 15285606 17833207 20380808 30571212 35666414 53499621 61142424 71332828 106999242 142665656 213998484 427996968