Search a number
-
+
916138188 = 22357294643
BaseRepresentation
bin110110100110110…
…010100011001100
32100211212122100000
4312212302203030
53334012410223
6230524004300
731463021550
oct6646624314
92324778300
10916138188
114301551a9
12216990690
13117a57104
148995b860
1555668543
hex369b28cc

916138188 has 144 divisors (see below), whose sum is σ = 2839898880. Its totient is φ = 252673344.

The previous prime is 916138187. The next prime is 916138193. The reversal of 916138188 is 881831619.

916138188 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (916138183) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194995 + ... + 199637.

It is an arithmetic number, because the mean of its divisors is an integer number (19721520).

Almost surely, 2916138188 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 916138188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419949440).

916138188 is an abundant number, since it is smaller than the sum of its proper divisors (1923760692).

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

916138188 is a wasteful number, since it uses less digits than its factorization.

916138188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4698 (or 4684 counting only the distinct ones).

The product of its digits is 82944, while the sum is 45.

The square root of 916138188 is about 30267.7747447677. The cubic root of 916138188 is about 971.2260643167.

The spelling of 916138188 in words is "nine hundred sixteen million, one hundred thirty-eight thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 81 84 87 108 116 126 162 174 189 203 243 252 261 324 348 378 406 486 522 567 609 756 783 812 972 1044 1134 1218 1566 1701 1827 2268 2349 2436 3132 3402 3654 4643 4698 5481 6804 7047 7308 9286 9396 10962 13929 14094 16443 18572 21924 27858 28188 32501 32886 41787 49329 55716 65002 65772 83574 97503 98658 125361 130004 134647 167148 195006 197316 250722 269294 292509 376083 390012 403941 501444 538588 585018 752166 807882 877527 942529 1128249 1170036 1211823 1504332 1615764 1755054 1885058 2256498 2423646 2632581 2827587 3510108 3635469 3770116 4512996 4847292 5265162 5655174 7270938 7897743 8482761 10530324 10906407 11310348 14541876 15795486 16965522 21812814 25448283 31590972 32719221 33931044 43625628 50896566 65438442 76344849 101793132 130876884 152689698 229034547 305379396 458069094 916138188