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464452716 = 22371317127197
BaseRepresentation
bin11011101011101…
…111110001101100
31012100221122100110
4123223233301230
51422344441331
6114030500020
714336532360
oct3353576154
91170848313
10464452716
11219198222
1210b664610
13752ba1c0
14459812a0
152ab95946
hex1baefc6c

464452716 has 192 divisors, whose sum is σ = 1430618112. Its totient is φ = 113799168.

The previous prime is 464452711. The next prime is 464452717. The reversal of 464452716 is 617254464.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (464452711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2357530 + ... + 2357726.

It is an arithmetic number, because the mean of its divisors is an integer number (7451136).

Almost surely, 2464452716 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 464452716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715309056).

464452716 is an abundant number, since it is smaller than the sum of its proper divisors (966165396).

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

464452716 is a wasteful number, since it uses less digits than its factorization.

464452716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 366 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 464452716 is about 21551.1650729143. The cubic root of 464452716 is about 774.4270290117.

The spelling of 464452716 in words is "four hundred sixty-four million, four hundred fifty-two thousand, seven hundred sixteen".