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114848149 = 1329312317
BaseRepresentation
bin1101101100001…
…11000110010101
322000002220001011
412312013012111
5213400120044
615221332221
72563123153
oct666070625
9260086034
10114848149
1159913129
1232567071
131aa41cb0
14113783d3
15a139134
hex6d87195

114848149 has 24 divisors (see below), whose sum is σ = 132625080. Its totient is φ = 98743680.

The previous prime is 114848147. The next prime is 114848171. The reversal of 114848149 is 941848411.

It can be written as a sum of positive squares in 4 ways, for example, as 465124 + 114383025 = 682^2 + 10695^2 .

It is not a de Polignac number, because 114848149 - 21 = 114848147 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114848147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362139 + ... + 362455.

It is an arithmetic number, because the mean of its divisors is an integer number (5526045).

Almost surely, 2114848149 is an apocalyptic number.

It is an amenable number.

114848149 is a deficient number, since it is larger than the sum of its proper divisors (17776931).

114848149 is a wasteful number, since it uses less digits than its factorization.

114848149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 390 counting only the distinct ones).

The product of its digits is 36864, while the sum is 40.

The square root of 114848149 is about 10716.7228666230. The cubic root of 114848149 is about 486.0802774016.

The spelling of 114848149 in words is "one hundred fourteen million, eight hundred forty-eight thousand, one hundred forty-nine".

Divisors: 1 13 29 31 317 377 403 899 961 4121 9193 9827 11687 12493 27869 119509 127751 284983 304637 362297 3704779 3960281 8834473 114848149