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491242248 = 233272139241
BaseRepresentation
bin11101010001111…
…100001100001000
31021020100200200100
4131101330030020
52001224222443
6120425005400
715113330100
oct3521741410
91236320610
10491242248
11232325632
12118623860
137aa09ab3
1449356200
152d1d83d3
hex1d47c308

491242248 has 72 divisors (see below), whose sum is σ = 1547674830. Its totient is φ = 140353920.

The previous prime is 491242247. The next prime is 491242249. The reversal of 491242248 is 842242194.

It is an interprime number because it is at equal distance from previous prime (491242247) and next prime (491242249).

It can be written as a sum of positive squares in only one way, i.e., 297976644 + 193265604 = 17262^2 + 13902^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (491242247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 66093 + ... + 73148.

Almost surely, 2491242248 is an apocalyptic number.

It is an amenable number.

491242248 is an abundant number, since it is smaller than the sum of its proper divisors (1056432582).

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

491242248 is a wasteful number, since it uses less digits than its factorization.

491242248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139267 (or 139253 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 491242248 is about 22163.9853816952. The cubic root of 491242248 is about 789.0391822744.

The spelling of 491242248 in words is "four hundred ninety-one million, two hundred forty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 139241 278482 417723 556964 835446 974687 1113928 1253169 1670892 1949374 2506338 2924061 3341784 3898748 5012676 5848122 6822809 7797496 8772183 10025352 11696244 13645618 17544366 20468427 23392488 27291236 35088732 40936854 54582472 61405281 70177464 81873708 122810562 163747416 245621124 491242248