Search a number
-
+
116887848 = 233711193329
BaseRepresentation
bin1101111011110…
…01000100101000
322010221111222120
412331321010220
5214410402343
615333151240
72616346620
oct675710450
9263844876
10116887848
115aa86630
123318b520
131b2a750c
1411749880
15a3dd683
hex6f79128

116887848 has 128 divisors (see below), whose sum is σ = 383616000. Its totient is φ = 28753920.

The previous prime is 116887807. The next prime is 116887853. The reversal of 116887848 is 848788611.

It is a super-2 number, since 2×1168878482 = 27325538020142208, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 116887848.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33448 + ... + 36776.

It is an arithmetic number, because the mean of its divisors is an integer number (2997000).

Almost surely, 2116887848 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 116887848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191808000).

116887848 is an abundant number, since it is smaller than the sum of its proper divisors (266728152).

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

116887848 is a wasteful number, since it uses less digits than its factorization.

116887848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3375 (or 3371 counting only the distinct ones).

The product of its digits is 688128, while the sum is 51.

The square root of 116887848 is about 10811.4683554085. The cubic root of 116887848 is about 488.9409976444.

The spelling of 116887848 in words is "one hundred sixteen million, eight hundred eighty-seven thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 19 21 22 24 28 33 38 42 44 56 57 66 76 77 84 88 114 132 133 152 154 168 209 228 231 264 266 308 399 418 456 462 532 616 627 798 836 924 1064 1254 1463 1596 1672 1848 2508 2926 3192 3329 4389 5016 5852 6658 8778 9987 11704 13316 17556 19974 23303 26632 35112 36619 39948 46606 63251 69909 73238 79896 93212 109857 126502 139818 146476 186424 189753 219714 253004 256333 279636 292952 379506 439428 442757 506008 512666 559272 695761 759012 768999 878856 885514 1025332 1328271 1391522 1518024 1537998 1771028 2050664 2087283 2656542 2783044 3075996 3542056 4174566 4870327 5313084 5566088 6151992 8349132 9740654 10626168 14610981 16698264 19481308 29221962 38962616 58443924 116887848