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448792065 = 32519717393
BaseRepresentation
bin11010110000000…
…000011000000001
31011021110222222100
4122300000120001
51404342321230
6112311101013
714056445451
oct3260003001
91137428870
10448792065
11210371137
12106371769
1371c95c47
1443865d61
1529600660
hex1ac00601

448792065 has 48 divisors (see below), whose sum is σ = 830494080. Its totient is φ = 223534080.

The previous prime is 448792051. The next prime is 448792073. The reversal of 448792065 is 560297844.

It is a happy number.

It is not a de Polignac number, because 448792065 - 25 = 448792033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 448792065.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57009 + ... + 64401.

It is an arithmetic number, because the mean of its divisors is an integer number (17301960).

Almost surely, 2448792065 is an apocalyptic number.

448792065 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

448792065 is a deficient number, since it is larger than the sum of its proper divisors (381702015).

448792065 is a wasteful number, since it uses less digits than its factorization.

448792065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7494 (or 7491 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 448792065 is about 21184.7130025403. The cubic root of 448792065 is about 765.6231498275.

The spelling of 448792065 in words is "four hundred forty-eight million, seven hundred ninety-two thousand, sixty-five".

Divisors: 1 3 5 9 15 19 45 57 71 95 171 213 285 355 639 855 1065 1349 3195 4047 6745 7393 12141 20235 22179 36965 60705 66537 110895 140467 332685 421401 524903 702335 1264203 1574709 2107005 2624515 4724127 6321015 7873545 9973157 23620635 29919471 49865785 89758413 149597355 448792065