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248416741 = 1318272293
BaseRepresentation
bin11101100111010…
…00100111100101
3122022102212201001
432303220213211
51002043313431
640352233301
76104336026
oct1663504745
9568385631
10248416741
111182521a1
126b23b831
133c609b71
1424dc6c4d
1516c1ee61
hexece89e5

248416741 has 8 divisors (see below), whose sum is σ = 250725024. Its totient is φ = 246114960.

The previous prime is 248416661. The next prime is 248416781. The reversal of 248416741 is 147614842.

It is a happy number.

It is the 6435-th star number.

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 248416741 - 221 = 246319589 is a prime.

It is a super-2 number, since 2×2484167412 = 123421754418122162, which contains 22 as substring.

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 248416741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248416781) 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, 107191 + ... + 109483.

It is an arithmetic number, because the mean of its divisors is an integer number (31340628).

Almost surely, 2248416741 is an apocalyptic number.

It is an amenable number.

248416741 is a deficient number, since it is larger than the sum of its proper divisors (2308283).

248416741 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (248416740) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (3251).

248416741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251.

The product of its digits is 43008, while the sum is 37.

The square root of 248416741 is about 15761.2417340767. The cubic root of 248416741 is about 628.6278534624.

The spelling of 248416741 in words is "two hundred forty-eight million, four hundred sixteen thousand, seven hundred forty-one".

Divisors: 1 131 827 2293 108337 300383 1896311 248416741