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480773071 = 23125916603
BaseRepresentation
bin11100101010000…
…000001111001111
31020111122210200001
4130222000033033
51441034214241
6115412345131
714625334522
oct3452001717
91214583601
10480773071
11227424a19
121150151a7
13787b280c
1447bccbb9
152c31b431
hex1ca803cf

480773071 has 8 divisors (see below), whose sum is σ = 502104960. Its totient is φ = 459476952.

The previous prime is 480773047. The next prime is 480773087. The reversal of 480773071 is 170377084.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 480773071 - 29 = 480772559 is a prime.

It is a super-3 number, since 3×4807730713 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 480773071.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480773171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20656 + ... + 37258.

It is an arithmetic number, because the mean of its divisors is an integer number (62763120).

Almost surely, 2480773071 is an apocalyptic number.

480773071 is a deficient number, since it is larger than the sum of its proper divisors (21331889).

480773071 is a wasteful number, since it uses less digits than its factorization.

480773071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17885.

The product of its (nonzero) digits is 32928, while the sum is 37.

The square root of 480773071 is about 21926.5380532359. The cubic root of 480773071 is about 783.3936459170.

The spelling of 480773071 in words is "four hundred eighty million, seven hundred seventy-three thousand, seventy-one".

Divisors: 1 23 1259 16603 28957 381869 20903177 480773071