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401641146 = 23331239929
BaseRepresentation
bin10111111100001…
…000111010111010
31000222202111002000
4113330020322322
51310310004041
6103504321430
712644615304
oct2774107272
91028674060
10401641146
11196796a35
12b2613276
13652975aa
143b4b0974
15253d9bb6
hex17f08eba

401641146 has 32 divisors (see below), whose sum is σ = 921331200. Its totient is φ = 129561120.

The previous prime is 401641139. The next prime is 401641147. The reversal of 401641146 is 641146104.

401641146 is a `hidden beast` number, since 4 + 0 + 1 + 641 + 14 + 6 = 666.

It is a super-2 number, since 2×4016411462 = 322631220320386632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (401641147) by changing a digit.

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, 118291 + ... + 121638.

It is an arithmetic number, because the mean of its divisors is an integer number (28791600).

Almost surely, 2401641146 is an apocalyptic number.

401641146 is an abundant number, since it is smaller than the sum of its proper divisors (519690054).

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

401641146 is a wasteful number, since it uses less digits than its factorization.

401641146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239971 (or 239965 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 401641146 is about 20040.9866523582. The cubic root of 401641146 is about 737.8125970060.

The spelling of 401641146 in words is "four hundred one million, six hundred forty-one thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 239929 479858 719787 1439574 2159361 4318722 6478083 7437799 12956166 14875598 22313397 44626794 66940191 133880382 200820573 401641146