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463442252 = 2271373107163
BaseRepresentation
bin11011100111111…
…001000101001100
31012022001022020212
4123213321011030
51422120123002
6113553101552
714325123410
oct3347710514
91168038225
10463442252
11218668029
1210b2578b8
13750252b0
144579ad40
152aa46352
hex1b9f914c

463442252 has 96 divisors (see below), whose sum is σ = 1027579392. Its totient is φ = 178039296.

The previous prime is 463442251. The next prime is 463442257. The reversal of 463442252 is 252244364.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (463442251) 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, 2843123 + ... + 2843285.

It is an arithmetic number, because the mean of its divisors is an integer number (10703952).

Almost surely, 2463442252 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 463442252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513789696).

463442252 is an abundant number, since it is smaller than the sum of its proper divisors (564137140).

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

463442252 is a wasteful number, since it uses less digits than its factorization.

463442252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 365 counting only the distinct ones).

The product of its digits is 46080, while the sum is 32.

The square root of 463442252 is about 21527.7089352304. The cubic root of 463442252 is about 773.8650063809.

The spelling of 463442252 in words is "four hundred sixty-three million, four hundred forty-two thousand, two hundred fifty-two".

Divisors: 1 2 4 7 13 14 26 28 52 73 91 107 146 163 182 214 292 326 364 428 511 652 749 949 1022 1141 1391 1498 1898 2044 2119 2282 2782 2996 3796 4238 4564 5564 6643 7811 8476 9737 11899 13286 14833 15622 17441 19474 23798 26572 29666 31244 34882 38948 47596 54677 59332 69764 83293 101543 109354 122087 154687 166586 203086 218708 226733 244174 309374 333172 406172 453466 488348 618748 710801 906932 1082809 1273193 1421602 1587131 2165618 2546386 2843204 3174262 4331236 5092772 6348524 8912351 16551509 17824702 33103018 35649404 66206036 115860563 231721126 463442252