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114374848 = 267534817
BaseRepresentation
bin1101101000100…
…11100011000000
321222012211210111
412310103203000
5213234443343
615203241104
72556112240
oct664234300
9258184714
10114374848
115961a575
1232379194
131a907733
1411293b20
15a093c9d
hex6d138c0

114374848 has 56 divisors (see below), whose sum is σ = 264334752. Its totient is φ = 48082944.

The previous prime is 114374831. The next prime is 114374893. The reversal of 114374848 is 848473411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 114374848.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21336 + ... + 26152.

Almost surely, 2114374848 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 114374848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132167376).

114374848 is an abundant number, since it is smaller than the sum of its proper divisors (149959904).

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

114374848 is an equidigital number, since it uses as much as digits as its factorization.

114374848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4889 (or 4879 counting only the distinct ones).

The product of its digits is 86016, while the sum is 40.

The square root of 114374848 is about 10694.6177117277. The cubic root of 114374848 is about 485.4116291454.

The spelling of 114374848 in words is "one hundred fourteen million, three hundred seventy-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 212 224 371 424 448 742 848 1484 1696 2968 3392 4817 5936 9634 11872 19268 23744 33719 38536 67438 77072 134876 154144 255301 269752 308288 510602 539504 1021204 1079008 1787107 2042408 2158016 3574214 4084816 7148428 8169632 14296856 16339264 28593712 57187424 114374848