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468722500 = 22544332
BaseRepresentation
bin11011111100000…
…010001101000100
31012122222120101121
4123330002031010
51424443110000
6114302203324
714421034621
oct3374021504
91178876347
10468722500
11220644174
12110b83544
13761537bc
1446373348
152b23ab1a
hex1bf02344

468722500 has 45 divisors (see below), whose sum is σ = 1027375041. Its totient is φ = 187056000.

The previous prime is 468722479. The next prime is 468722509. The reversal of 468722500 is 5227864.

The square root of 468722500 is 21650.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 467164996 + 1557504 = 21614^2 + 1248^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (468722509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1082284 + ... + 1082716.

Almost surely, 2468722500 is an apocalyptic number.

468722500 is the 21650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468722500

468722500 is an abundant number, since it is smaller than the sum of its proper divisors (558652541).

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

468722500 is an frugal number, since it uses more digits than its factorization.

468722500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The cubic root of 468722500 is about 776.7929352769.

The spelling of 468722500 in words is "four hundred sixty-eight million, seven hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 433 500 625 866 1250 1732 2165 2500 4330 8660 10825 21650 43300 54125 108250 187489 216500 270625 374978 541250 749956 937445 1082500 1874890 3749780 4687225 9374450 18748900 23436125 46872250 93744500 117180625 234361250 468722500