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401641488 = 24322789177
BaseRepresentation
bin10111111100001…
…001000000010000
31000222202111112200
4113330021000100
51310310011423
6103504323200
712644616303
oct2774110020
91028674480
10401641488
11196797216
12b2613500
13652977b1
143b4b0b3a
15253d9d43
hex17f09010

401641488 has 30 divisors (see below), whose sum is σ = 1124038734. Its totient is φ = 133880448.

The previous prime is 401641481. The next prime is 401641517. The reversal of 401641488 is 884146104.

401641488 is a `hidden beast` number, since 4 + 0 + 1 + 641 + 4 + 8 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 359026704 + 42614784 = 18948^2 + 6528^2 .

It is a super-2 number, since 2×4016414882 = 322631769765708288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (401641481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1394445 + ... + 1394732.

Almost surely, 2401641488 is an apocalyptic number.

401641488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

401641488 is an abundant number, since it is smaller than the sum of its proper divisors (722397246).

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

401641488 is a wasteful number, since it uses less digits than its factorization.

401641488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789191 (or 2789182 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 401641488 is about 20040.9951848704. The cubic root of 401641488 is about 737.8128064233.

The spelling of 401641488 in words is "four hundred one million, six hundred forty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2789177 5578354 8367531 11156708 16735062 22313416 25102593 33470124 44626832 50205186 66940248 100410372 133880496 200820744 401641488