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401787541 = 5361124277
BaseRepresentation
bin10111111100101…
…100101010010101
31001000000220220001
4113330230222111
51310324200131
6103511411301
712646065151
oct2774545225
91030026801
10401787541
11196886a21
12b2683b31
136531910c
143b50c061
1525418261
hex17f2ca95

401787541 has 8 divisors (see below), whose sum is σ = 416082744. Its totient is φ = 387741120.

The previous prime is 401787499. The next prime is 401787553. The reversal of 401787541 is 145787104.

It can be written as a sum of positive squares in 4 ways, for example, as 4622500 + 397165041 = 2150^2 + 19929^2 .

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 401787541 - 211 = 401785493 is a prime.

It is a super-2 number, since 2×4017875412 = 322866456205653362, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 401787541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401787041) 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, 58906 + ... + 65371.

It is an arithmetic number, because the mean of its divisors is an integer number (52010343).

Almost surely, 2401787541 is an apocalyptic number.

It is an amenable number.

401787541 is a deficient number, since it is larger than the sum of its proper divisors (14295203).

401787541 is a wasteful number, since it uses less digits than its factorization.

401787541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124391.

The product of its (nonzero) digits is 31360, while the sum is 37.

The square root of 401787541 is about 20044.6387096400. The cubic root of 401787541 is about 737.9022283894.

The spelling of 401787541 in words is "four hundred one million, seven hundred eighty-seven thousand, five hundred forty-one".

Divisors: 1 53 61 3233 124277 6586681 7580897 401787541