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401050417 = 1753617297
BaseRepresentation
bin10111111001111…
…000101100110001
31000221122110202011
4113321320230301
51310132103132
6103443522521
712636605125
oct2771705461
91027573664
10401050417
11196423129
12b2389441
136511b751
143b399585
152531eb47
hex17e78b31

401050417 has 16 divisors (see below), whose sum is σ = 439806672. Its totient is φ = 364216320.

The previous prime is 401050411. The next prime is 401050421. The reversal of 401050417 is 714050104.

It can be written as a sum of positive squares in 8 ways, for example, as 5875776 + 395174641 = 2424^2 + 19879^2 .

It is a cyclic number.

It is not a de Polignac number, because 401050417 - 227 = 266832689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (401050411) 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 15 ways as a sum of consecutive naturals, for example, 51313 + ... + 58609.

It is an arithmetic number, because the mean of its divisors is an integer number (27487917).

Almost surely, 2401050417 is an apocalyptic number.

It is an amenable number.

401050417 is a deficient number, since it is larger than the sum of its proper divisors (38756255).

401050417 is a wasteful number, since it uses less digits than its factorization.

401050417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7428.

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 401050417 is about 20026.2432073517. The cubic root of 401050417 is about 737.4506975373.

The spelling of 401050417 in words is "four hundred one million, fifty thousand, four hundred seventeen".

Divisors: 1 17 53 61 901 1037 3233 7297 54961 124049 386741 445117 6574597 7566989 23591201 401050417