Search a number
-
+
115799808 = 2831311151
BaseRepresentation
bin1101110011011…
…11011100000000
322001220020110210
412321233130000
5214121043213
615253554120
72604165525
oct671573400
9261806423
10115799808
115a403123
1232945940
131acb61c7
141154514c
15a2760c3
hex6e6f700

115799808 has 72 divisors (see below), whose sum is σ = 310818816. Its totient is φ = 38272000.

The previous prime is 115799797. The next prime is 115799809. The reversal of 115799808 is 808997511.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115799809) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100033 + ... + 101183.

It is an arithmetic number, because the mean of its divisors is an integer number (4316928).

Almost surely, 2115799808 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 115799808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155409408).

115799808 is an abundant number, since it is smaller than the sum of its proper divisors (195019008).

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

115799808 is a wasteful number, since it uses less digits than its factorization.

115799808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 48.

The square root of 115799808 is about 10761.0319207779. The cubic root of 115799808 is about 487.4191781859.

The spelling of 115799808 in words is "one hundred fifteen million, seven hundred ninety-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 256 262 384 393 524 768 786 1048 1151 1572 2096 2302 3144 3453 4192 4604 6288 6906 8384 9208 12576 13812 16768 18416 25152 27624 33536 36832 50304 55248 73664 100608 110496 147328 150781 220992 294656 301562 441984 452343 603124 883968 904686 1206248 1809372 2412496 3618744 4824992 7237488 9649984 14474976 19299968 28949952 38599936 57899904 115799808