Search a number
-
+
469581344 = 25172114091
BaseRepresentation
bin11011111111010…
…011111000100000
31012201121012111122
4123333103320200
51430203100334
6114332431412
714431242551
oct3377237040
91181535448
10469581344
11221080461
12111318568
13763946ab
1446518328
152b35a32e
hex1bfd3e20

469581344 has 48 divisors (see below), whose sum is σ = 983749536. Its totient is φ = 219878400.

The previous prime is 469581341. The next prime is 469581349. The reversal of 469581344 is 443185964.

It is a junction number, because it is equal to n+sod(n) for n = 469581295 and 469581304.

It is not an unprimeable number, because it can be changed into a prime (469581341) 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 7 ways as a sum of consecutive naturals, for example, 112739 + ... + 116829.

It is an arithmetic number, because the mean of its divisors is an integer number (20494782).

Almost surely, 2469581344 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 469581344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491874768).

469581344 is an abundant number, since it is smaller than the sum of its proper divisors (514168192).

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

469581344 is a wasteful number, since it uses less digits than its factorization.

469581344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4329 (or 4321 counting only the distinct ones).

The product of its digits is 414720, while the sum is 44.

The square root of 469581344 is about 21669.8256568898. The cubic root of 469581344 is about 777.2670871080.

The spelling of 469581344 in words is "four hundred sixty-nine million, five hundred eighty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 211 272 422 544 844 1688 3376 3587 4091 6752 7174 8182 14348 16364 28696 32728 57392 65456 69547 114784 130912 139094 278188 556376 863201 1112752 1726402 2225504 3452804 6905608 13811216 14674417 27622432 29348834 58697668 117395336 234790672 469581344