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117829782 = 23372313553
BaseRepresentation
bin1110000010111…
…11000010010110
322012201101002000
413001133002112
5220131023112
615405300130
72630352030
oct701370226
9265641060
10117829782
116056a294
1233564646
131b547185
1411912c50
15a5277dc
hex705f096

117829782 has 64 divisors (see below), whose sum is σ = 312284160. Its totient is φ = 32199552.

The previous prime is 117829757. The next prime is 117829861. The reversal of 117829782 is 287928711.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1918 + ... + 15470.

It is an arithmetic number, because the mean of its divisors is an integer number (4879440).

Almost surely, 2117829782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117829782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156142080).

117829782 is an abundant number, since it is smaller than the sum of its proper divisors (194454378).

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

117829782 is a wasteful number, since it uses less digits than its factorization.

117829782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13594 (or 13588 counting only the distinct ones).

The product of its digits is 112896, while the sum is 45.

The square root of 117829782 is about 10854.9427451277. The cubic root of 117829782 is about 490.2508530905.

The spelling of 117829782 in words is "one hundred seventeen million, eight hundred twenty-nine thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 161 189 207 322 378 414 483 621 966 1242 1449 2898 4347 8694 13553 27106 40659 81318 94871 121977 189742 243954 284613 311719 365931 569226 623438 731862 853839 935157 1707678 1870314 2182033 2561517 2805471 4364066 5123034 5610942 6546099 8416413 13092198 16832826 19638297 39276594 58914891 117829782