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248261113 = 31113131541
BaseRepresentation
bin11101100110000…
…10100111111001
3122022010222020001
432303002213321
51002023323423
640345033001
76103120222
oct1663024771
9568128201
10248261113
11118156281
126b185761
133c584089
1424d86249
1516bddcad
hexecc29f9

248261113 has 16 divisors (see below), whose sum is σ = 260992512. Its totient is φ = 235872000.

The previous prime is 248261107. The next prime is 248261147. The reversal of 248261113 is 311162842.

It is a cyclic number.

It is not a de Polignac number, because 248261113 - 29 = 248260601 is a prime.

It is a super-3 number, since 3×2482611133 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248261413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458623 + ... + 459163.

It is an arithmetic number, because the mean of its divisors is an integer number (16312032).

Almost surely, 2248261113 is an apocalyptic number.

It is an amenable number.

248261113 is a deficient number, since it is larger than the sum of its proper divisors (12731399).

248261113 is a wasteful number, since it uses less digits than its factorization.

248261113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816.

The product of its digits is 2304, while the sum is 28.

The square root of 248261113 is about 15756.3039130375. The cubic root of 248261113 is about 628.4965518813.

The spelling of 248261113 in words is "two hundred forty-eight million, two hundred sixty-one thousand, one hundred thirteen".

Divisors: 1 31 113 131 541 3503 4061 14803 16771 61133 70871 458893 1895123 2197001 8008423 248261113