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379585605 = 35721721787
BaseRepresentation
bin10110101000000…
…000010001000101
3222110020221120010
4112220000101011
51234133214410
6101355500433
712256265400
oct2650002105
9873227503
10379585605
111852a2313
12a7157719
1360844689
14385acd37
15234cec20
hex16a00445

379585605 has 72 divisors (see below), whose sum is σ = 750917088. Its totient is φ = 163226112.

The previous prime is 379585597. The next prime is 379585621. The reversal of 379585605 is 506585973.

It is not a de Polignac number, because 379585605 - 23 = 379585597 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 211522 + ... + 213308.

It is an arithmetic number, because the mean of its divisors is an integer number (10429404).

Almost surely, 2379585605 is an apocalyptic number.

379585605 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

379585605 is a deficient number, since it is larger than the sum of its proper divisors (371331483).

379585605 is a wasteful number, since it uses less digits than its factorization.

379585605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 48.

The square root of 379585605 is about 19482.9567827884. The cubic root of 379585605 is about 724.0522566648.

The spelling of 379585605 in words is "three hundred seventy-nine million, five hundred eighty-five thousand, six hundred five".

Divisors: 1 3 5 7 15 17 21 35 49 51 85 105 119 147 245 255 289 357 595 735 833 867 1445 1785 1787 2023 2499 4165 4335 5361 6069 8935 10115 12495 12509 14161 26805 30345 30379 37527 42483 62545 70805 87563 91137 151895 187635 212415 212653 262689 437815 455685 516443 637959 1063265 1313445 1488571 1549329 2582215 3189795 3615101 4465713 7442855 7746645 10845303 18075505 22328565 25305707 54226515 75917121 126528535 379585605