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463422864 = 24383293397
BaseRepresentation
bin11011100111110…
…100010110010000
31012022000022122210
4123213310112100
51422114012424
6113552432120
714325013032
oct3347642620
91168008583
10463422864
11218654503
1210b248640
1375019518
1445793c52
152aa40729
hex1b9f4590

463422864 has 80 divisors (see below), whose sum is σ = 1218796992. Its totient is φ = 151709184.

The previous prime is 463422859. The next prime is 463422881. The reversal of 463422864 is 468224364.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1167114 + ... + 1167510.

Almost surely, 2463422864 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 463422864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609398496).

463422864 is an abundant number, since it is smaller than the sum of its proper divisors (755374128).

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

463422864 is a wasteful number, since it uses less digits than its factorization.

463422864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 778 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

The square root of 463422864 is about 21527.2586271453. The cubic root of 463422864 is about 773.8542147423.

The spelling of 463422864 in words is "four hundred sixty-three million, four hundred twenty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 293 332 397 498 586 664 794 879 996 1172 1191 1328 1588 1758 1992 2344 2382 3176 3516 3984 4688 4764 6352 7032 9528 14064 19056 24319 32951 48638 65902 72957 97276 98853 116321 131804 145914 194552 197706 232642 263608 291828 348963 389104 395412 465284 527216 583656 697926 790824 930568 1167312 1395852 1581648 1861136 2791704 5583408 9654643 19309286 28963929 38618572 57927858 77237144 115855716 154474288 231711432 463422864