Search a number
-
+
401395806 = 232717187393
BaseRepresentation
bin10111111011001…
…101000001011110
31000222022000112100
4113323031001132
51310224131211
6103455145530
712642544110
oct2773150136
91028260470
10401395806
11196639679
12b25152a6
136520ca16
143b4493b0
152538c156
hex17ecd05e

401395806 has 48 divisors (see below), whose sum is σ = 1052404704. Its totient is φ = 107937792.

The previous prime is 401395801. The next prime is 401395837. The reversal of 401395806 is 608593104.

401395806 is a `hidden beast` number, since 40 + 1 + 39 + 580 + 6 = 666.

It is a super-2 number, since 2×4013958062 = 322237186148779272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401395801) 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 23 ways as a sum of consecutive naturals, for example, 91555 + ... + 95838.

It is an arithmetic number, because the mean of its divisors is an integer number (21925098).

Almost surely, 2401395806 is an apocalyptic number.

401395806 is an abundant number, since it is smaller than the sum of its proper divisors (651008898).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

401395806 is a wasteful number, since it uses less digits than its factorization.

401395806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187425 (or 187422 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 401395806 is about 20034.8647612106. The cubic root of 401395806 is about 737.6623369922.

The spelling of 401395806 in words is "four hundred one million, three hundred ninety-five thousand, eight hundred six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1071 2142 187393 374786 562179 1124358 1311751 1686537 2623502 3185681 3373074 3935253 6371362 7870506 9557043 11805759 19114086 22299767 23611518 28671129 44599534 57342258 66899301 133798602 200697903 401395806