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114357248 = 210181617
BaseRepresentation
bin1101101000011…
…11010000000000
321222011221122122
412310033100000
5213233412443
615203023412
72556010025
oct664172000
9258157578
10114357248
1159608325
123236ab68
131a8cc715
141128b54c
15a08d968
hex6d0f400

114357248 has 44 divisors (see below), whose sum is σ = 230238372. Its totient is φ = 56770560.

The previous prime is 114357197. The next prime is 114357263. The reversal of 114357248 is 842753411.

It can be written as a sum of positive squares in 2 ways, for example, as 2166784 + 112190464 = 1472^2 + 10592^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 185036 + ... + 185652.

Almost surely, 2114357248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114357248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115119186).

114357248 is an abundant number, since it is smaller than the sum of its proper divisors (115881124).

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

114357248 is an equidigital number, since it uses as much as digits as its factorization.

114357248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 800 counting only the distinct ones).

The product of its digits is 26880, while the sum is 35.

The square root of 114357248 is about 10693.7948362590. The cubic root of 114357248 is about 485.3867294899.

The spelling of 114357248 in words is "one hundred fourteen million, three hundred fifty-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 181 256 362 512 617 724 1024 1234 1448 2468 2896 4936 5792 9872 11584 19744 23168 39488 46336 78976 92672 111677 157952 185344 223354 315904 446708 631808 893416 1786832 3573664 7147328 14294656 28589312 57178624 114357248