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468671424 = 263131031823
BaseRepresentation
bin11011111011110…
…101101111000000
31012122212222022220
4123323311233000
51424434441144
6114301131040
714420432664
oct3373655700
91178788286
10468671424
11220609861
12110b59a80
1376136490
144635c8a4
152b22a919
hex1bef5bc0

468671424 has 112 divisors (see below), whose sum is σ = 1349117952. Its totient is φ = 142728192.

The previous prime is 468671363. The next prime is 468671429. The reversal of 468671424 is 424176864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468671429) 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, 256177 + ... + 257999.

It is an arithmetic number, because the mean of its divisors is an integer number (12045696).

Almost surely, 2468671424 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 468671424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674558976).

468671424 is an abundant number, since it is smaller than the sum of its proper divisors (880446528).

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

468671424 is a wasteful number, since it uses less digits than its factorization.

468671424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954 (or 1944 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 468671424 is about 21648.8203835682. The cubic root of 468671424 is about 776.7647189249.

The spelling of 468671424 in words is "four hundred sixty-eight million, six hundred seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 103 104 156 192 206 208 309 312 412 416 618 624 824 832 1236 1248 1339 1648 1823 2472 2496 2678 3296 3646 4017 4944 5356 5469 6592 7292 8034 9888 10712 10938 14584 16068 19776 21424 21876 23699 29168 32136 42848 43752 47398 58336 64272 71097 85696 87504 94796 116672 128544 142194 175008 187769 189592 257088 284388 350016 375538 379184 563307 568776 751076 758368 1126614 1137552 1502152 1516736 2253228 2275104 2440997 3004304 4506456 4550208 4881994 6008608 7322991 9012912 9763988 12017216 14645982 18025824 19527976 29291964 36051648 39055952 58583928 78111904 117167856 156223808 234335712 468671424