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48095560249 = 112199372
BaseRepresentation
bin101100110010101110…
…000000001000111001
311121010212021121102021
4230302232000020321
51241444430411444
634032250434441
73321565342162
oct546256001071
9147125247367
1048095560249
1119440765300
1293a3132a21
1346c63433b9
14248382c769
1513b75ab584
hexb32b80239

48095560249 has 9 divisors (see below), whose sum is σ = 52868019631. Its totient is φ = 43721043520.

The previous prime is 48095560231. The next prime is 48095560267. The reversal of 48095560249 is 94206559084.

The square root of 48095560249 is 219307.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (48095560231) and next prime (48095560267).

It can be written as a sum of positive squares in only one way, i.e., 8507295225 + 39588265024 = 92235^2 + 198968^2 .

It is not a de Polignac number, because 48095560249 - 217 = 48095429177 is a prime.

It is a super-3 number, since 3×480955602493 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 48095560196 and 48095560205.

It is not an unprimeable number, because it can be changed into a prime (48095560949) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2402409 + ... + 2422345.

Almost surely, 248095560249 is an apocalyptic number.

48095560249 is the 219307-th square number.

48095560249 is the 109654-th centered octagonal number.

It is an amenable number.

48095560249 is a deficient number, since it is larger than the sum of its proper divisors (4772459382).

48095560249 is an frugal number, since it uses more digits than its factorization.

48095560249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39896 (or 19948 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 52.

The spelling of 48095560249 in words is "forty-eight billion, ninety-five million, five hundred sixty thousand, two hundred forty-nine".

Divisors: 1 11 121 19937 219307 2412377 397483969 4372323659 48095560249