Search a number
-
+
445015431 = 3372324451
BaseRepresentation
bin11010100001100…
…110010110000111
31011000101010102000
4122201212112013
51402410443211
6112054120343
714012366040
oct3241462607
91130333360
10445015431
11209221753
121050500b3
1371272c53
14431618c7
1529106656
hex1a866587

445015431 has 48 divisors (see below), whose sum is σ = 787825920. Its totient is φ = 243183600.

The previous prime is 445015427. The next prime is 445015457. The reversal of 445015431 is 134510544.

It is a happy number.

It is not a de Polignac number, because 445015431 - 22 = 445015427 is a prime.

It is a super-2 number, since 2×4450154312 = 396077467656231522, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 445015395 and 445015404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445015481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97756 + ... + 102206.

It is an arithmetic number, because the mean of its divisors is an integer number (16413040).

Almost surely, 2445015431 is an apocalyptic number.

445015431 is a deficient number, since it is larger than the sum of its proper divisors (342810489).

445015431 is a wasteful number, since it uses less digits than its factorization.

445015431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4513 (or 4484 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 445015431 is about 21095.3888563354. The cubic root of 445015431 is about 763.4694967376.

Adding to 445015431 its reverse (134510544), we get a palindrome (579525975).

It can be divided in two parts, 4450 and 15431, that added together give a square (19881 = 1412).

The spelling of 445015431 in words is "four hundred forty-five million, fifteen thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 23 27 63 69 161 189 207 483 529 621 1449 1587 3703 4347 4451 4761 11109 13353 14283 31157 33327 40059 93471 99981 102373 120177 280413 307119 716611 841239 921357 2149833 2354579 2764071 6449499 7063737 16482053 19348497 21191211 49446159 63573633 148338477 445015431