Search a number
-
+
445294404 = 223235172
BaseRepresentation
bin11010100010101…
…010011101000100
31011000220022002100
4122202222131010
51402443410104
6112104112100
714014640262
oct3242523504
91130808070
10445294404
112093a2305
12105165630
137133cc19
14431d5432
152915e139
hex1a8aa744

445294404 has 27 divisors (see below), whose sum is σ = 1125925437. Its totient is φ = 148389264.

The previous prime is 445294387. The next prime is 445294427. The reversal of 445294404 is 404492544.

It is a happy number.

The square root of 445294404 is 21102.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 427248900 + 18045504 = 20670^2 + 4248^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 8 ways as a sum of consecutive naturals, for example, 124854 + ... + 128370.

Almost surely, 2445294404 is an apocalyptic number.

445294404 is the 21102-nd square number.

It is an amenable number.

445294404 is an abundant number, since it is smaller than the sum of its proper divisors (680631033).

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

445294404 is an equidigital number, since it uses as much as digits as its factorization.

445294404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7044 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The cubic root of 445294404 is about 763.6289989859.

Multiplying 445294404 by its sum of digits (36), we get a square (16030598544 = 1266122).

445294404 divided by its sum of digits (36) gives a square (12369289 = 35172).

It can be divided in two parts, 445 and 294404, that added together give a square (294849 = 5432).

The spelling of 445294404 in words is "four hundred forty-five million, two hundred ninety-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 3517 7034 10551 14068 21102 31653 42204 63306 126612 12369289 24738578 37107867 49477156 74215734 111323601 148431468 222647202 445294404