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393208497 = 32112894057
BaseRepresentation
bin10111011011111…
…110001010110001
31000101220001122200
4113123332022301
51301130132442
6103003453413
712513134313
oct2733761261
91011801580
10393208497
11191a57400
12ab827269
1363604266
143a3177b3
15247c134c
hex176fe2b1

393208497 has 36 divisors (see below), whose sum is σ = 631465380. Its totient is φ = 235572480.

The previous prime is 393208493. The next prime is 393208499. The reversal of 393208497 is 794802393.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 134931456 + 258277041 = 11616^2 + 16071^2 .

It is not a de Polignac number, because 393208497 - 22 = 393208493 is a prime.

It is a super-2 number, since 2×3932084972 = 309225844225998018, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (393208493) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94893 + ... + 98949.

It is an arithmetic number, because the mean of its divisors is an integer number (17540705).

Almost surely, 2393208497 is an apocalyptic number.

It is an amenable number.

393208497 is a deficient number, since it is larger than the sum of its proper divisors (238256883).

393208497 is a wasteful number, since it uses less digits than its factorization.

393208497 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4174 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 393208497 is about 19829.4855455203. The cubic root of 393208497 is about 732.6124554872.

The spelling of 393208497 in words is "three hundred ninety-three million, two hundred eight thousand, four hundred ninety-seven".

Divisors: 1 3 9 11 33 89 99 121 267 363 801 979 1089 2937 4057 8811 10769 12171 32307 36513 44627 96921 133881 361073 401643 490897 1083219 1472691 3249657 3971803 4418073 11915409 35746227 43689833 131069499 393208497