Search a number
-
+
401221824 = 2632089697
BaseRepresentation
bin10111111010100…
…010100011000000
31000221222011212120
4113322202203000
51310203044244
6103451324240
712641220633
oct2772424300
91027864776
10401221824
1119652a993
12b2450680
136517b783
143b401c1a
1525355819
hex17ea28c0

401221824 has 28 divisors (see below), whose sum is σ = 1061566584. Its totient is φ = 133740544.

The previous prime is 401221813. The next prime is 401221831. The reversal of 401221824 is 428122104.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 401221794 and 401221803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1044657 + ... + 1045040.

Almost surely, 2401221824 is an apocalyptic number.

It is an amenable number.

401221824 is an abundant number, since it is smaller than the sum of its proper divisors (660344760).

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

401221824 is a wasteful number, since it uses less digits than its factorization.

401221824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089712 (or 2089702 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 401221824 is about 20030.5223097152. The cubic root of 401221824 is about 737.5557435219. Note that the first 3 decimals are identical.

Adding to 401221824 its reverse (428122104), we get a palindrome (829343928).

The spelling of 401221824 in words is "four hundred one million, two hundred twenty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 2089697 4179394 6269091 8358788 12538182 16717576 25076364 33435152 50152728 66870304 100305456 133740608 200610912 401221824