Search a number
-
+
441057645 = 325711312391
BaseRepresentation
bin11010010010100…
…000000101101101
31010201221001100100
4122102200011231
51400402321040
6111433221313
713633633230
oct3222400555
91121831310
10441057645
11206a69156
12103861839
13704b8672
1442811417
1528ac3b30
hex1a4a016d

441057645 has 48 divisors (see below), whose sum is σ = 881517312. Its totient is φ = 199825920.

The previous prime is 441057629. The next prime is 441057647. The reversal of 441057645 is 546750144.

441057645 is a `hidden beast` number, since 4 + 4 + 1 + 0 + 5 + 7 + 645 = 666.

It is not a de Polignac number, because 441057645 - 24 = 441057629 is a prime.

It is a super-3 number, since 3×4410576453 (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441057647) 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, 29400 + ... + 41790.

It is an arithmetic number, because the mean of its divisors is an integer number (18364944).

Almost surely, 2441057645 is an apocalyptic number.

441057645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

441057645 is a deficient number, since it is larger than the sum of its proper divisors (440459667).

441057645 is a wasteful number, since it uses less digits than its factorization.

441057645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12522 (or 12519 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 441057645 is about 21001.3724551516. The cubic root of 441057645 is about 761.1994247585.

The spelling of 441057645 in words is "four hundred forty-one million, fifty-seven thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 113 315 339 565 791 1017 1695 2373 3955 5085 7119 11865 12391 35595 37173 61955 86737 111519 185865 260211 433685 557595 780633 1301055 1400183 3903165 4200549 7000915 9801281 12601647 21002745 29403843 49006405 63008235 88211529 147019215 441057645