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393082965 = 3251129139197
BaseRepresentation
bin10111011011011…
…111100001010101
31000101122200110100
4113123133201111
51301112123330
6103001044313
712512102322
oct2733374125
91011580410
10393082965
11191981060
12ab786699
136358c092
143a2c3b49
1524799060
hex176df855

393082965 has 96 divisors (see below), whose sum is σ = 778377600. Its totient is φ = 181762560.

The previous prime is 393082939. The next prime is 393082967. The reversal of 393082965 is 569280393.

It is not a de Polignac number, because 393082965 - 25 = 393082933 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 393082965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393082967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1995247 + ... + 1995443.

It is an arithmetic number, because the mean of its divisors is an integer number (8108100).

Almost surely, 2393082965 is an apocalyptic number.

It is an amenable number.

393082965 is a deficient number, since it is larger than the sum of its proper divisors (385294635).

393082965 is a wasteful number, since it uses less digits than its factorization.

393082965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 393082965 is about 19826.3200064964. The cubic root of 393082965 is about 732.5344848974.

The spelling of 393082965 in words is "three hundred ninety-three million, eighty-two thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 11 15 29 33 45 55 87 99 139 145 165 197 261 319 417 435 495 591 695 957 985 1251 1305 1529 1595 1773 2085 2167 2871 2955 4031 4587 4785 5713 6255 6501 7645 8865 10835 12093 13761 14355 17139 19503 20155 22935 27383 28565 32505 36279 44341 51417 60465 62843 68805 82149 85695 97515 133023 136915 181395 188529 221705 246447 257085 301213 314215 399069 410745 565587 665115 794107 903639 942645 1232235 1506065 1995345 2382321 2710917 2827935 3970535 4518195 7146963 8735177 11911605 13554585 26205531 35734815 43675885 78616593 131027655 393082965