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401501064 = 233231096673
BaseRepresentation
bin10111111011100…
…110101110001000
31000222111100220210
4113323212232020
51310241013224
6103501321120
712643463016
oct2773465610
91028440823
10401501064
11196700768
12b25661a0
13652488c3
143b4758b6
15253ad429
hex17ee6b88

401501064 has 64 divisors (see below), whose sum is σ = 1057161600. Its totient is φ = 126821376.

The previous prime is 401501033. The next prime is 401501071. The reversal of 401501064 is 460105104.

It is a super-2 number, since 2×4015010642 = 322406208786264192, 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 401501064.

It is an unprimeable number.

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, 56832 + ... + 63504.

It is an arithmetic number, because the mean of its divisors is an integer number (16518150).

Almost surely, 2401501064 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 401501064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528580800).

401501064 is an abundant number, since it is smaller than the sum of its proper divisors (655660536).

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

401501064 is a wasteful number, since it uses less digits than its factorization.

401501064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6814 (or 6810 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 401501064 is about 20037.4914597611. The cubic root of 401501064 is about 737.7268104082.

Adding to 401501064 its reverse (460105104), we get a palindrome (861606168).

It can be divided in two parts, 40150 and 1064, that added together give a palindrome (41214).

The spelling of 401501064 in words is "four hundred one million, five hundred one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 109 138 184 218 276 327 436 552 654 872 1308 2507 2616 5014 6673 7521 10028 13346 15042 20019 20056 26692 30084 40038 53384 60168 80076 153479 160152 306958 460437 613916 727357 920874 1227832 1454714 1841748 2182071 2909428 3683496 4364142 5818856 8728284 16729211 17456568 33458422 50187633 66916844 100375266 133833688 200750532 401501064