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463378872 = 2331110317041
BaseRepresentation
bin11011100111101…
…001100110111000
31012021221002022110
4123213221212320
51422111110442
6113551452320
714324440545
oct3347514670
91167832273
10463378872
11218624450
1210b2270a0
13750024a8
1445781bcc
152aa3269c
hex1b9e99b8

463378872 has 64 divisors (see below), whose sum is σ = 1276104960. Its totient is φ = 139046400.

The previous prime is 463378837. The next prime is 463378913. The reversal of 463378872 is 278873364.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18672 + ... + 35712.

It is an arithmetic number, because the mean of its divisors is an integer number (19939140).

Almost surely, 2463378872 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 463378872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638052480).

463378872 is an abundant number, since it is smaller than the sum of its proper divisors (812726088).

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

463378872 is a wasteful number, since it uses less digits than its factorization.

463378872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17164 (or 17160 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 48.

The square root of 463378872 is about 21526.2368285774. The cubic root of 463378872 is about 773.8297270483.

The spelling of 463378872 in words is "four hundred sixty-three million, three hundred seventy-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 103 132 206 264 309 412 618 824 1133 1236 2266 2472 3399 4532 6798 9064 13596 17041 27192 34082 51123 68164 102246 136328 187451 204492 374902 408984 562353 749804 1124706 1499608 1755223 2249412 3510446 4498824 5265669 7020892 10531338 14041784 19307453 21062676 38614906 42125352 57922359 77229812 115844718 154459624 231689436 463378872