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468943944 = 233731127709
BaseRepresentation
bin11011111100111…
…000010001001000
31012200101211011020
4123330320101020
51430022201234
6114311032440
714422646340
oct3374702110
91180354136
10468943944
11220785587
1211106b720
1376200531
14463cdd20
152b281549
hex1bf38448

468943944 has 128 divisors (see below), whose sum is σ = 1395916800. Its totient is φ = 128459520.

The previous prime is 468943933. The next prime is 468943961. The reversal of 468943944 is 449349864.

It is a super-2 number, since 2×4689439442 = 439816845228550272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 661062 + ... + 661770.

It is an arithmetic number, because the mean of its divisors is an integer number (10905600).

Almost surely, 2468943944 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 468943944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697958400).

468943944 is an abundant number, since it is smaller than the sum of its proper divisors (926972856).

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

468943944 is a wasteful number, since it uses less digits than its factorization.

468943944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 879 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 51.

The square root of 468943944 is about 21655.1135762434. The cubic root of 468943944 is about 776.9152457788.

The spelling of 468943944 in words is "four hundred sixty-eight million, nine hundred forty-three thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 127 168 186 217 248 254 372 381 434 508 651 709 744 762 868 889 1016 1302 1418 1524 1736 1778 2127 2604 2667 2836 3048 3556 3937 4254 4963 5208 5334 5672 7112 7874 8508 9926 10668 11811 14889 15748 17016 19852 21336 21979 23622 27559 29778 31496 39704 43958 47244 55118 59556 65937 82677 87916 90043 94488 110236 119112 131874 153853 165354 175832 180086 220472 263748 270129 307706 330708 360172 461559 527496 540258 615412 630301 661416 720344 923118 1080516 1230824 1260602 1846236 1890903 2161032 2521204 2791333 3692472 3781806 5042408 5582666 7563612 8373999 11165332 15127224 16747998 19539331 22330664 33495996 39078662 58617993 66991992 78157324 117235986 156314648 234471972 468943944