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402350985 = 32517525949
BaseRepresentation
bin10111111110110…
…110001110001001
31001001002112210100
4113332312032021
51311000212420
6103531440013
712653632641
oct2776661611
91031075710
10402350985
11197131283
12b28b6009
136548570a
143b617521
15254ca190
hex17fb6389

402350985 has 24 divisors (see below), whose sum is σ = 738433800. Its totient is φ = 201964032.

The previous prime is 402350947. The next prime is 402350989. The reversal of 402350985 is 589053204.

It can be written as a sum of positive squares in 4 ways, for example, as 222039801 + 180311184 = 14901^2 + 13428^2 .

It is not a de Polignac number, because 402350985 - 213 = 402342793 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (402350989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262210 + ... + 263739.

It is an arithmetic number, because the mean of its divisors is an integer number (30768075).

Almost surely, 2402350985 is an apocalyptic number.

402350985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

402350985 is a deficient number, since it is larger than the sum of its proper divisors (336082815).

402350985 is a wasteful number, since it uses less digits than its factorization.

402350985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525977 (or 525974 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 402350985 is about 20058.6885164509. The cubic root of 402350985 is about 738.2469979860.

The spelling of 402350985 in words is "four hundred two million, three hundred fifty thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 525949 1577847 2629745 4733541 7889235 8941133 23667705 26823399 44705665 80470197 134116995 402350985