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464542316 = 227233123269
BaseRepresentation
bin11011101100000…
…101101001101100
31012101010012020222
4123230011221230
51422410323231
6114032430512
714340354530
oct3354055154
91171105228
10464542316
11219249577
1210b6a8438
137531bc14
14459a5bc0
152abb227b
hex1bb05a6c

464542316 has 48 divisors (see below), whose sum is σ = 1000796160. Its totient is φ = 184282560.

The previous prime is 464542249. The next prime is 464542321. The reversal of 464542316 is 613245464.

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, 8330 + ... + 31598.

It is an arithmetic number, because the mean of its divisors is an integer number (20849920).

Almost surely, 2464542316 is an apocalyptic number.

464542316 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464542316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500398080).

464542316 is an abundant number, since it is smaller than the sum of its proper divisors (536253844).

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

464542316 is a wasteful number, since it uses less digits than its factorization.

464542316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23334 (or 23332 counting only the distinct ones).

The product of its digits is 69120, while the sum is 35.

The square root of 464542316 is about 21553.2437465918. The cubic root of 464542316 is about 774.4768253978.

The spelling of 464542316 in words is "four hundred sixty-four million, five hundred forty-two thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 23 28 31 46 62 92 124 161 217 322 434 644 713 868 1426 2852 4991 9982 19964 23269 46538 93076 162883 325766 535187 651532 721339 1070374 1442678 2140748 2885356 3746309 5049373 7492618 10098746 14985236 16590797 20197492 33181594 66363188 116135579 232271158 464542316