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401488812 = 22343171563
BaseRepresentation
bin10111111011100…
…011101110101100
31000222110202010000
4113323203232230
51310240120222
6103501144300
712643412214
oct2773435654
91028422100
10401488812
111966a253a
12b255b090
136524315a
143b471244
15253a99ac
hex17ee3bac

401488812 has 120 divisors (see below), whose sum is σ = 1100639232. Its totient is φ = 127461600.

The previous prime is 401488811. The next prime is 401488849. The reversal of 401488812 is 218884104.

It is a happy number.

It is a super-2 number, since 2×4014888122 = 322386532322342688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401488811) 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 39 ways as a sum of consecutive naturals, for example, 712843 + ... + 713405.

Almost surely, 2401488812 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401488812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550319616).

401488812 is an abundant number, since it is smaller than the sum of its proper divisors (699150420).

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

401488812 is a wasteful number, since it uses less digits than its factorization.

401488812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 401488812 is about 20037.1857305361. The cubic root of 401488812 is about 737.7193063012.

The spelling of 401488812 in words is "four hundred one million, four hundred eighty-eight thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 71 81 93 108 124 142 162 186 213 279 284 324 372 426 558 563 639 837 852 1116 1126 1278 1674 1689 1917 2201 2252 2511 2556 3348 3378 3834 4402 5022 5067 5751 6603 6756 7668 8804 10044 10134 11502 13206 15201 17453 19809 20268 23004 26412 30402 34906 39618 39973 45603 52359 59427 60804 69812 79236 79946 91206 104718 118854 119919 157077 159892 178281 182412 209436 237708 239838 314154 356562 359757 471231 479676 628308 713124 719514 942462 1079271 1239163 1413693 1439028 1884924 2158542 2478326 2827386 3237813 3717489 4317084 4956652 5654772 6475626 7434978 11152467 12951252 14869956 22304934 33457401 44609868 66914802 100372203 133829604 200744406 401488812