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114008048 = 24711293191
BaseRepresentation
bin1101100101110…
…01111111110000
321221112012122022
412302321333300
5213141224143
615151331012
72553023660
oct662717760
9257465568
10114008048
1159399a30
1232220a68
131a8097ab
14111da1a0
15a020268
hex6cb9ff0

114008048 has 80 divisors (see below), whose sum is σ = 284981760. Its totient is φ = 42873600.

The previous prime is 114008029. The next prime is 114008087. The reversal of 114008048 is 840800411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34133 + ... + 37323.

It is an arithmetic number, because the mean of its divisors is an integer number (3562272).

Almost surely, 2114008048 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 114008048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142490880).

114008048 is an abundant number, since it is smaller than the sum of its proper divisors (170973712).

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

114008048 is a wasteful number, since it uses less digits than its factorization.

114008048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 114008048 is about 10677.4551275105. The cubic root of 114008048 is about 484.8921686089.

Adding to 114008048 its reverse (840800411), we get a palindrome (954808459).

The spelling of 114008048 in words is "one hundred fourteen million, eight thousand, forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 44 56 58 77 88 112 116 154 176 203 232 308 319 406 464 616 638 812 1232 1276 1624 2233 2552 3191 3248 4466 5104 6382 8932 12764 17864 22337 25528 35101 35728 44674 51056 70202 89348 92539 140404 178696 185078 245707 280808 357392 370156 491414 561616 647773 740312 982828 1017929 1295546 1480624 1965656 2035858 2591092 3931312 4071716 5182184 7125503 8143432 10364368 14251006 16286864 28502012 57004024 114008048