Search a number
-
+
401493015 = 325721116553
BaseRepresentation
bin10111111011100…
…100110000010111
31000222110221212200
4113323210300113
51310240234030
6103501215543
712643430400
oct2773446027
91028427780
10401493015
111966a5710
12b25615b3
1365245041
143b4729a7
15253aad60
hex17ee4c17

401493015 has 72 divisors (see below), whose sum is σ = 883189008. Its totient is φ = 166844160.

The previous prime is 401493013. The next prime is 401493017. The reversal of 401493015 is 510394104.

It is an interprime number because it is at equal distance from previous prime (401493013) and next prime (401493017).

It is not a de Polignac number, because 401493015 - 21 = 401493013 is a prime.

It is a super-2 number, since 2×4014930152 = 322393282187580450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401493015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401493013) 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 71 ways as a sum of consecutive naturals, for example, 15979 + ... + 32531.

It is an arithmetic number, because the mean of its divisors is an integer number (12266514).

Almost surely, 2401493015 is an apocalyptic number.

401493015 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

401493015 is an abundant number, since it is smaller than the sum of its proper divisors (481695993).

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

401493015 is a wasteful number, since it uses less digits than its factorization.

401493015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16589 (or 16579 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 401493015 is about 20037.2906102597. The cubic root of 401493015 is about 737.7218805726.

The spelling of 401493015 in words is "four hundred one million, four hundred ninety-three thousand, fifteen".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 49 55 63 77 99 105 147 165 231 245 315 385 441 495 539 693 735 1155 1617 2205 2695 3465 4851 8085 16553 24255 49659 82765 115871 148977 182083 248295 347613 546249 579355 744885 811097 910415 1042839 1274581 1638747 1738065 2433291 2731245 3823743 4055485 5214195 6372905 7299873 8193735 8922067 11471229 12166455 19118715 26766201 36499365 44610335 57356145 80298603 133831005 401493015