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401521040 = 24537135649
BaseRepresentation
bin10111111011101…
…011100110010000
31000222112101022122
4113323223212100
51310242133130
6103501553412
712643605164
oct2773534620
91028471278
10401521040
11196714778
12b2575868
1365254a1b
143b47cca4
15253b42e5
hex17eeb990

401521040 has 40 divisors (see below), whose sum is σ = 958774200. Its totient is φ = 156266496.

The previous prime is 401521039. The next prime is 401521061. The reversal of 401521040 is 40125104.

It can be written as a sum of positive squares in 4 ways, for example, as 246866944 + 154654096 = 15712^2 + 12436^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4015210402 = 322438291125363200, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 64865 + ... + 70784.

It is an arithmetic number, because the mean of its divisors is an integer number (23969355).

Almost surely, 2401521040 is an apocalyptic number.

401521040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401521040 is an abundant number, since it is smaller than the sum of its proper divisors (557253160).

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

401521040 is a wasteful number, since it uses less digits than its factorization.

401521040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135699 (or 135693 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 401521040 is about 20037.9899191511. The cubic root of 401521040 is about 737.7390449847.

Adding to 401521040 its reverse (40125104), we get a palindrome (441646144).

The spelling of 401521040 in words is "four hundred one million, five hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 135649 271298 542596 678245 1085192 1356490 2170384 2712980 5019013 5425960 10038026 10851920 20076052 25095065 40152104 50190130 80304208 100380260 200760520 401521040