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401462242 = 21741972969
BaseRepresentation
bin10111111011011…
…101001111100010
31000222102101122221
4113323131033202
51310233242432
6103500421254
712643241566
oct2773351742
91028371587
10401462242
11196684585
12b254782a
136523402c
143b4656a6
15253a1b97
hex17edd3e2

401462242 has 32 divisors (see below), whose sum is σ = 660124080. Its totient is φ = 182353920.

The previous prime is 401462231. The next prime is 401462249. The reversal of 401462242 is 242264104.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 28933641 + 372528601 = 5379^2 + 19301^2 .

It is a super-3 number, since 3×4014622423 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (401462249) 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, 133734 + ... + 136702.

Almost surely, 2401462242 is an apocalyptic number.

401462242 is a deficient number, since it is larger than the sum of its proper divisors (258661838).

401462242 is a wasteful number, since it uses less digits than its factorization.

401462242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126.

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 401462242 is about 20036.5227023054. The cubic root of 401462242 is about 737.7030321787.

The spelling of 401462242 in words is "four hundred one million, four hundred sixty-two thousand, two hundred forty-two".

Divisors: 1 2 17 34 41 82 97 194 697 1394 1649 2969 3298 3977 5938 7954 50473 67609 100946 121729 135218 243458 287993 575986 2069393 4138786 4895881 9791762 11807713 23615426 200731121 401462242