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468220732 = 227171994943
BaseRepresentation
bin11011111010000…
…111101100111100
31012122001002002121
4123322013230330
51424331030412
6114243332324
714413545010
oct3372075474
91178032077
10468220732
11220331191
121109810a4
13760092b5
1446282540
152b18c107
hex1be87b3c

468220732 has 48 divisors (see below), whose sum is σ = 996710400. Its totient is φ = 187875072.

The previous prime is 468220717. The next prime is 468220751. The reversal of 468220732 is 237022864.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

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, 92253 + ... + 97195.

It is an arithmetic number, because the mean of its divisors is an integer number (20764800).

Almost surely, 2468220732 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 468220732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498355200).

468220732 is an abundant number, since it is smaller than the sum of its proper divisors (528489668).

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

468220732 is a wasteful number, since it uses less digits than its factorization.

468220732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5170 (or 5168 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 468220732 is about 21638.4087215303. The cubic root of 468220732 is about 776.5156503849.

The spelling of 468220732 in words is "four hundred sixty-eight million, two hundred twenty thousand, seven hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 68 119 199 238 398 476 796 1393 2786 3383 4943 5572 6766 9886 13532 19772 23681 34601 47362 69202 84031 94724 138404 168062 336124 588217 983657 1176434 1967314 2352868 3934628 6885599 13771198 16722169 27542396 33444338 66888676 117055183 234110366 468220732