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379376505 = 32517613809
BaseRepresentation
bin10110100111001…
…101001101111001
3222102212022201200
4112213031031321
51234110022010
6101351204413
712254434644
oct2647151571
9872768650
10379376505
1118516a202
12a7076709
13607a0451
1438556a5b
152348ccc0
hex169cd379

379376505 has 48 divisors (see below), whose sum is σ = 698265360. Its totient is φ = 189886464.

The previous prime is 379376489. The next prime is 379376509. The reversal of 379376505 is 505673973.

379376505 is a `hidden beast` number, since 3 + 79 + 3 + 76 + 505 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1929321 + 377447184 = 1389^2 + 19428^2 .

It is not a de Polignac number, because 379376505 - 24 = 379376489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (379376509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 468541 + ... + 469349.

It is an arithmetic number, because the mean of its divisors is an integer number (14547195).

Almost surely, 2379376505 is an apocalyptic number.

It is an amenable number.

379376505 is a deficient number, since it is larger than the sum of its proper divisors (318888855).

379376505 is a wasteful number, since it uses less digits than its factorization.

379376505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 45.

The square root of 379376505 is about 19477.5898149643. The cubic root of 379376505 is about 723.9192808323.

The spelling of 379376505 in words is "three hundred seventy-nine million, three hundred seventy-six thousand, five hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 613 765 809 1839 2427 3065 4045 5517 7281 9195 10421 12135 13753 27585 31263 36405 41259 52105 68765 93789 123777 156315 206295 468945 495917 618885 1487751 2479585 4463253 7438755 8430589 22316265 25291767 42152945 75875301 126458835 379376505