Search a number
-
+
115758496 = 2573713967
BaseRepresentation
bin1101110011001…
…01010110100000
322001211010210201
412321211112200
5214113232441
615253034544
72603634220
oct671452640
9261733721
10115758496
115a385087
1232925a54
131aca0469
1411534080
15a268c31
hex6e655a0

115758496 has 48 divisors (see below), whose sum is σ = 267515136. Its totient is φ = 48266496.

The previous prime is 115758479. The next prime is 115758497. The reversal of 115758496 is 694857511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115758497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1305 + ... + 15271.

It is an arithmetic number, because the mean of its divisors is an integer number (5573232).

Almost surely, 2115758496 is an apocalyptic number.

115758496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115758496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133757568).

115758496 is an abundant number, since it is smaller than the sum of its proper divisors (151756640).

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

115758496 is a wasteful number, since it uses less digits than its factorization.

115758496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14021 (or 14013 counting only the distinct ones).

The product of its digits is 302400, while the sum is 46.

The square root of 115758496 is about 10759.1122310347. The cubic root of 115758496 is about 487.3612084406.

The spelling of 115758496 in words is "one hundred fifteen million, seven hundred fifty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 518 592 1036 1184 2072 4144 8288 13967 27934 55868 97769 111736 195538 223472 391076 446944 516779 782152 1033558 1564304 2067116 3128608 3617453 4134232 7234906 8268464 14469812 16536928 28939624 57879248 115758496