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393406607 = 11372513851
BaseRepresentation
bin10111011100101…
…110100010001111
31000102021010102002
4113130232202033
51301203002412
6103012022515
712514621016
oct2734564217
91012233362
10393406607
11192082230
12ab901a3b
1363673499
143a369a7d
152480edc2
hex1772e88f

393406607 has 16 divisors (see below), whose sum is σ = 442641024. Its totient is φ = 346500000.

The previous prime is 393406589. The next prime is 393406619. The reversal of 393406607 is 706604393.

It is a happy number.

It is not a de Polignac number, because 393406607 - 218 = 393144463 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393406627) 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 15 ways as a sum of consecutive naturals, for example, 100232 + ... + 104082.

It is an arithmetic number, because the mean of its divisors is an integer number (27665064).

Almost surely, 2393406607 is an apocalyptic number.

393406607 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

393406607 is a deficient number, since it is larger than the sum of its proper divisors (49234417).

393406607 is a wasteful number, since it uses less digits than its factorization.

393406607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4150.

The product of its (nonzero) digits is 81648, while the sum is 38.

The square root of 393406607 is about 19834.4802553533. The cubic root of 393406607 is about 732.7354720603.

The spelling of 393406607 in words is "three hundred ninety-three million, four hundred six thousand, six hundred seven".

Divisors: 1 11 37 251 407 2761 3851 9287 42361 102157 142487 966601 1567357 10632611 35764237 393406607