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468375048 = 23343472083
BaseRepresentation
bin11011111010101…
…101011000001000
31012122022220210000
4123322231120020
51424401000143
6114250523000
714415056631
oct3372553010
91178286700
10468375048
11220427119
12110a36460
13760615cb
14462c2888
152b1bcbd3
hex1bead608

468375048 has 80 divisors (see below), whose sum is σ = 1316296080. Its totient is φ = 155600352.

The previous prime is 468375043. The next prime is 468375053. The reversal of 468375048 is 840573864.

It is an interprime number because it is at equal distance from previous prime (468375043) and next prime (468375053).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 468374994 and 468375012.

It is not an unprimeable number, because it can be changed into a prime (468375043) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 223815 + ... + 225897.

It is an arithmetic number, because the mean of its divisors is an integer number (16453701).

Almost surely, 2468375048 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 468375048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658148040).

468375048 is an abundant number, since it is smaller than the sum of its proper divisors (847921032).

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

468375048 is a wasteful number, since it uses less digits than its factorization.

468375048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 468375048 is about 21641.9742167853. The cubic root of 468375048 is about 776.6009489197.

The spelling of 468375048 in words is "four hundred sixty-eight million, three hundred seventy-five thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 347 648 694 1041 1388 2082 2083 2776 3123 4164 4166 6246 6249 8328 8332 9369 12492 12498 16664 18738 18747 24984 24996 28107 37476 37494 49992 56214 56241 74952 74988 112428 112482 149976 168723 224856 224964 337446 449928 674892 722801 1349784 1445602 2168403 2891204 4336806 5782408 6505209 8673612 13010418 17347224 19515627 26020836 39031254 52041672 58546881 78062508 117093762 156125016 234187524 468375048