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468509912 = 231324773101
BaseRepresentation
bin11011111011001…
…110010011011000
31012122120202202222
4123323032103120
51424414304122
6114253443212
714416161053
oct3373162330
91178522688
10468509912
11220509482
12110aa0508
13760aab00
1446319a9a
152b1e7b42
hex1bece4d8

468509912 has 96 divisors (see below), whose sum is σ = 994524480. Its totient is φ = 206668800.

The previous prime is 468509891. The next prime is 468509929. The reversal of 468509912 is 219905864.

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 23 ways as a sum of consecutive naturals, for example, 4638662 + ... + 4638762.

It is an arithmetic number, because the mean of its divisors is an integer number (10359630).

Almost surely, 2468509912 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 468509912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497262240).

468509912 is an abundant number, since it is smaller than the sum of its proper divisors (526014568).

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

468509912 is a wasteful number, since it uses less digits than its factorization.

468509912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The square root of 468509912 is about 21645.0897896036. The cubic root of 468509912 is about 776.6754799747.

The spelling of 468509912 in words is "four hundred sixty-eight million, five hundred nine thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 26 47 52 73 94 101 104 146 169 188 202 292 338 376 404 584 611 676 808 949 1222 1313 1352 1898 2444 2626 3431 3796 4747 4888 5252 6862 7373 7592 7943 9494 10504 12337 13724 14746 15886 17069 18988 24674 27448 29492 31772 34138 37976 44603 49348 58984 61711 63544 68276 89206 95849 98696 123422 136552 178412 191698 246844 346531 356824 383396 493688 579839 693062 766792 802243 1159678 1246037 1386124 1604486 2319356 2492074 2772248 3208972 4504903 4638712 4984148 6417944 9009806 9968296 18019612 36039224 58563739 117127478 234254956 468509912