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401924205 = 3258931649
BaseRepresentation
bin10111111101001…
…110000001101101
31001000021212100200
4113331032001231
51310343033310
6103514344113
712650204454
oct2775160155
91030255320
10401924205
1119696a671
12b272b039
1365366397
143b545b9b
15254439c0
hex17f4e06d

401924205 has 12 divisors (see below), whose sum is σ = 696668700. Its totient is φ = 214359552.

The previous prime is 401924197. The next prime is 401924209. The reversal of 401924205 is 502429104.

It can be written as a sum of positive squares in 2 ways, for example, as 259145604 + 142778601 = 16098^2 + 11949^2 .

It is not a de Polignac number, because 401924205 - 23 = 401924197 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401924209) 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 11 ways as a sum of consecutive naturals, for example, 4465780 + ... + 4465869.

It is an arithmetic number, because the mean of its divisors is an integer number (58055725).

Almost surely, 2401924205 is an apocalyptic number.

401924205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

401924205 is a deficient number, since it is larger than the sum of its proper divisors (294744495).

401924205 is a wasteful number, since it uses less digits than its factorization.

401924205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8931660 (or 8931657 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 401924205 is about 20048.0474111570. The cubic root of 401924205 is about 737.9858822514.

It can be divided in two parts, 4019 and 24205, that added together give a square (28224 = 1682).

The spelling of 401924205 in words is "four hundred one million, nine hundred twenty-four thousand, two hundred five".

Divisors: 1 3 5 9 15 45 8931649 26794947 44658245 80384841 133974735 401924205