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468362844 = 223319241293
BaseRepresentation
bin11011111010101…
…010011001011100
31012122022022001000
4123322222121130
51424400102334
6114250350300
714415006225
oct3372523134
91178268030
10468362844
11220418a34
12110a2b390
1376058ba1
14462bc24c
152b1b9299
hex1beaa65c

468362844 has 144 divisors (see below), whose sum is σ = 1317284640. Its totient is φ = 143804160.

The previous prime is 468362813. The next prime is 468362857. The reversal of 468362844 is 448263864.

It is a self number, because there is not a number n which added to its sum of digits gives 468362844.

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 47 ways as a sum of consecutive naturals, for example, 1598362 + ... + 1598654.

It is an arithmetic number, because the mean of its divisors is an integer number (9147810).

Almost surely, 2468362844 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 468362844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658642320).

468362844 is an abundant number, since it is smaller than the sum of its proper divisors (848921796).

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

468362844 is a wasteful number, since it uses less digits than its factorization.

468362844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 358 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 468362844 is about 21641.6922628523. The cubic root of 468362844 is about 776.5942038121.

The spelling of 468362844 in words is "four hundred sixty-eight million, three hundred sixty-two thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 41 54 57 76 82 108 114 123 164 171 228 246 293 342 361 369 492 513 586 684 722 738 779 879 1026 1083 1107 1172 1444 1476 1558 1758 2052 2166 2214 2337 2637 3116 3249 3516 4332 4428 4674 5274 5567 6498 7011 7911 9348 9747 10548 11134 12013 12996 14022 14801 15822 16701 19494 21033 22268 24026 28044 29602 31644 33402 36039 38988 42066 44403 48052 50103 59204 66804 72078 84132 88806 100206 105773 108117 133209 144156 150309 177612 200412 211546 216234 228247 266418 300618 317319 324351 399627 423092 432468 456494 532836 601236 634638 648702 684741 799254 912988 951957 1269276 1297404 1369482 1598508 1903914 2054223 2738964 2855871 3807828 4108446 4336693 5711742 6162669 8216892 8673386 11423484 12325338 13010079 17346772 24650676 26020158 39030237 52040316 78060474 117090711 156120948 234181422 468362844