Search a number
-
+
485990236900 = 2252722324332
BaseRepresentation
bin1110001001001110100…
…01101000001011100100
31201110102111101000012201
413010213101220023210
530430302000040100
61011132201224244
750053201566100
oct7044721501344
91643374330181
10485990236900
1117811a901093
127a231192084
1336aa080111c
1419744728900
15c995c2236a
hex71274682e4

485990236900 has 243 divisors, whose sum is σ = 1285404031611. Its totient is φ = 159012564480.

The previous prime is 485990236867. The next prime is 485990236903. The reversal of 485990236900 is 9632099584.

It is a happy number.

The square root of 485990236900 is 697130.

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

It can be written as a sum of positive squares in 4 ways, for example, as 148559368356 + 337430868544 = 385434^2 + 580888^2 .

It is a super-2 number, since 2×4859902369002 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (485990236903) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 1122379084 + ... + 1122379516.

Almost surely, 2485990236900 is an apocalyptic number.

485990236900 is the 697130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485990236900

485990236900 is an abundant number, since it is smaller than the sum of its proper divisors (799413794711).

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

485990236900 is a wasteful number, since it uses less digits than its factorization.

485990236900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 55.

The spelling of 485990236900 in words is "four hundred eighty-five billion, nine hundred ninety million, two hundred thirty-six thousand, nine hundred".