Search a number
-
+
445696224 = 25319244351
BaseRepresentation
bin11010100100001…
…100100011100000
31011001122201021120
4122210030203200
51403044234344
6112120452240
714021232621
oct3244144340
91131581246
10445696224
11209647196
1210531a080
1371450a9c
144329ba48
15291dd219
hex1a90c8e0

445696224 has 48 divisors (see below), whose sum is σ = 1231534080. Its totient is φ = 140745600.

The previous prime is 445696219. The next prime is 445696249. The reversal of 445696224 is 422696544.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 120352 + ... + 123999.

It is an arithmetic number, because the mean of its divisors is an integer number (25656960).

Almost surely, 2445696224 is an apocalyptic number.

It is an amenable number.

445696224 is an abundant number, since it is smaller than the sum of its proper divisors (785837856).

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

445696224 is a wasteful number, since it uses less digits than its factorization.

445696224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244383 (or 244375 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 445696224 is about 21111.5187516199. The cubic root of 445696224 is about 763.8586217202.

The spelling of 445696224 in words is "four hundred forty-five million, six hundred ninety-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 244351 488702 733053 977404 1466106 1954808 2932212 3909616 4642669 5864424 7819232 9285338 11728848 13928007 18570676 23457696 27856014 37141352 55712028 74282704 111424056 148565408 222848112 445696224