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427012264 = 23723759499
BaseRepresentation
bin11001011100111…
…011000010101000
31002202111110201001
4121130323002220
51333303343024
6110212204344
713403354500
oct3134730250
91082443631
10427012264
111aa0456a8
12bb0096b4
136a60b6a3
14409d6a00
152774c244
hex1973b0a8

427012264 has 96 divisors (see below), whose sum is σ = 974700000. Its totient is φ = 174690432.

The previous prime is 427012237. The next prime is 427012277. The reversal of 427012264 is 462210724.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 855487 + ... + 855985.

It is an arithmetic number, because the mean of its divisors is an integer number (10153125).

Almost surely, 2427012264 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 427012264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487350000).

427012264 is an abundant number, since it is smaller than the sum of its proper divisors (547687736).

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

427012264 is a wasteful number, since it uses less digits than its factorization.

427012264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 427012264 is about 20664.2750659199. The cubic root of 427012264 is about 753.0320304630.

Adding to 427012264 its reverse (462210724), we get a palindrome (889222988).

The spelling of 427012264 in words is "four hundred twenty-seven million, twelve thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 37 49 56 59 74 98 118 148 196 236 259 296 392 413 472 499 518 826 998 1036 1652 1813 1996 2072 2183 2891 3304 3493 3626 3992 4366 5782 6986 7252 8732 11564 13972 14504 15281 17464 18463 23128 24451 27944 29441 30562 36926 48902 58882 61124 73852 97804 106967 117764 122248 129241 147704 195608 206087 213934 235528 258482 412174 427868 516964 824348 855736 904687 1033928 1089317 1442609 1648696 1809374 2178634 2885218 3618748 4357268 5770436 7237496 7625219 8714536 11540872 15250438 30500876 53376533 61001752 106753066 213506132 427012264