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468032976 = 24323250229
BaseRepresentation
bin11011111001011…
…001110111010000
31012121200112112200
4123321121313100
51424304023401
6114235323200
714412133425
oct3371316720
91177615480
10468032976
11220213114
121108b0500
1375c719b8
1446233d4c
152b151686
hex1be59dd0

468032976 has 30 divisors (see below), whose sum is σ = 1309842690. Its totient is φ = 156010944.

The previous prime is 468032953. The next prime is 468032977. The reversal of 468032976 is 679230864.

It can be written as a sum of positive squares in only one way, i.e., 467597376 + 435600 = 21624^2 + 660^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468032977) 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 5 ways as a sum of consecutive naturals, for example, 1624971 + ... + 1625258.

It is an arithmetic number, because the mean of its divisors is an integer number (43661423).

Almost surely, 2468032976 is an apocalyptic number.

It is an amenable number.

468032976 is an abundant number, since it is smaller than the sum of its proper divisors (841809714).

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

468032976 is a wasteful number, since it uses less digits than its factorization.

468032976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250243 (or 3250234 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 468032976 is about 21634.0697974283. The cubic root of 468032976 is about 776.4118425334.

The spelling of 468032976 in words is "four hundred sixty-eight million, thirty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3250229 6500458 9750687 13000916 19501374 26001832 29252061 39002748 52003664 58504122 78005496 117008244 156010992 234016488 468032976