Search a number
-
+
118861248 = 26311167337
BaseRepresentation
bin1110001010110…
…10110111000000
322021122202222110
413011122313000
5220412024443
615443335320
72642206152
oct705326700
9267582873
10118861248
1161104240
1233981540
131b8187cc
1411b00ad2
15a67d233
hex715adc0

118861248 has 112 divisors (see below), whose sum is σ = 346155264. Its totient is φ = 35696640.

The previous prime is 118861247. The next prime is 118861277. The reversal of 118861248 is 842168811.

It is a super-2 number, since 2×1188612482 = 28255992552235008, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118861247) 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 15 ways as a sum of consecutive naturals, for example, 352536 + ... + 352872.

It is an arithmetic number, because the mean of its divisors is an integer number (3090672).

Almost surely, 2118861248 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 118861248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173077632).

118861248 is an abundant number, since it is smaller than the sum of its proper divisors (227294016).

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

118861248 is a wasteful number, since it uses less digits than its factorization.

118861248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 520 counting only the distinct ones).

The product of its digits is 24576, while the sum is 39.

The square root of 118861248 is about 10902.3505722390. The cubic root of 118861248 is about 491.6772289729.

The spelling of 118861248 in words is "one hundred eighteen million, eight hundred sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 167 176 192 264 334 337 352 501 528 668 674 704 1002 1011 1056 1336 1348 1837 2004 2022 2112 2672 2696 3674 3707 4008 4044 5344 5392 5511 7348 7414 8016 8088 10688 10784 11022 11121 14696 14828 16032 16176 21568 22044 22242 29392 29656 32064 32352 44088 44484 56279 58784 59312 64704 88176 88968 112558 117568 118624 168837 176352 177936 225116 237248 337674 352704 355872 450232 619069 675348 711744 900464 1238138 1350696 1800928 1857207 2476276 2701392 3601856 3714414 4952552 5402784 7428828 9905104 10805568 14857656 19810208 29715312 39620416 59430624 118861248