Search a number
-
+
402161791 = 3120116451
BaseRepresentation
bin10111111110001…
…000000001111111
31001000201221021011
4113332020001333
51310423134131
6103523420051
712652214233
oct2776100177
91030657234
10402161791
11197012119
12b2824627
136541a575
143b5a85c3
152548e0b1
hex17f8807f

402161791 has 8 divisors (see below), whose sum is σ = 415405568. Its totient is φ = 388935000.

The previous prime is 402161783. The next prime is 402161797. The reversal of 402161791 is 197161204.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 402161791 - 23 = 402161783 is a prime.

It is a super-3 number, since 3×4021617913 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402161797) 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 7 ways as a sum of consecutive naturals, for example, 59116 + ... + 65566.

It is an arithmetic number, because the mean of its divisors is an integer number (51925696).

Almost surely, 2402161791 is an apocalyptic number.

402161791 is a deficient number, since it is larger than the sum of its proper divisors (13243777).

402161791 is a wasteful number, since it uses less digits than its factorization.

402161791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8493.

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 402161791 is about 20053.9719507134. The cubic root of 402161791 is about 738.1312666919.

The spelling of 402161791 in words is "four hundred two million, one hundred sixty-one thousand, seven hundred ninety-one".

Divisors: 1 31 2011 6451 62341 199981 12972961 402161791