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401579079 = 31119640477
BaseRepresentation
bin10111111011111…
…001110001000111
31000222122022221020
4113323321301013
51310301012304
6103503122223
712644236326
oct2773716107
91028568836
10401579079
11196754340
12b25a3373
1365275275
143b4960bd
15253c65d9
hex17ef9c47

401579079 has 16 divisors (see below), whose sum is σ = 614858880. Its totient is φ = 230571360.

The previous prime is 401579029. The next prime is 401579081. The reversal of 401579079 is 970975104.

It is a happy number.

It is not a de Polignac number, because 401579079 - 212 = 401574983 is a prime.

It is a super-3 number, since 3×4015790793 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 401579079.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401579029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319612 + ... + 320865.

It is an arithmetic number, because the mean of its divisors is an integer number (38428680).

Almost surely, 2401579079 is an apocalyptic number.

401579079 is a deficient number, since it is larger than the sum of its proper divisors (213279801).

401579079 is a wasteful number, since it uses less digits than its factorization.

401579079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640510.

The product of its (nonzero) digits is 79380, while the sum is 42.

The square root of 401579079 is about 20039.4380909246. The cubic root of 401579079 is about 737.7745894678.

The spelling of 401579079 in words is "four hundred one million, five hundred seventy-nine thousand, seventy-nine".

Divisors: 1 3 11 19 33 57 209 627 640477 1921431 7045247 12169063 21135741 36507189 133859693 401579079