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117494442 = 233131923383
BaseRepresentation
bin1110000000011…
…01001010101010
322012002100002000
413000031022222
5220034310232
615354151430
72624454252
oct700151252
9265070060
10117494442
116036034a
1233422576
131b45a650
1411866962
15a4ad27c
hex700d2aa

117494442 has 128 divisors (see below), whose sum is σ = 309657600. Its totient is φ = 32674752.

The previous prime is 117494437. The next prime is 117494467. The reversal of 117494442 is 244494711.

It is a junction number, because it is equal to n+sod(n) for n = 117494397 and 117494406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 306583 + ... + 306965.

It is an arithmetic number, because the mean of its divisors is an integer number (2419200).

Almost surely, 2117494442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117494442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154828800).

117494442 is an abundant number, since it is smaller than the sum of its proper divisors (192163158).

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

117494442 is a wasteful number, since it uses less digits than its factorization.

117494442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 443 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 117494442 is about 10839.4853198849. The cubic root of 117494442 is about 489.7853314848.

The spelling of 117494442 in words is "one hundred seventeen million, four hundred ninety-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 19 23 26 27 38 39 46 54 57 69 78 114 117 138 171 207 234 247 299 342 351 383 414 437 494 513 598 621 702 741 766 874 897 1026 1149 1242 1311 1482 1794 2223 2298 2622 2691 3447 3933 4446 4979 5382 5681 6669 6894 7277 7866 8073 8809 9958 10341 11362 11799 13338 14554 14937 16146 17043 17618 20682 21831 23598 26427 29874 34086 43662 44811 51129 52854 65493 79281 89622 94601 102258 114517 130986 134433 153387 158562 167371 189202 196479 229034 237843 268866 283803 306774 334742 343551 392958 475686 502113 567606 687102 851409 1004226 1030653 1506339 1702818 2061306 2175823 2554227 3012678 3091959 4351646 4519017 5108454 6183918 6527469 9038034 13054938 19582407 39164814 58747221 117494442