Search a number
-
+
404895645 = 33571123541
BaseRepresentation
bin11000001000100…
…011011110011101
31001012212211102000
4120020203132131
51312123130040
6104102152513
713014361530
oct3010433635
91035784360
10404895645
1119860a100
12b3722739
1365b66a2b
143babaa17
152582e130
hex1822379d

404895645 has 96 divisors (see below), whose sum is σ = 904485120. Its totient is φ = 168220800.

The previous prime is 404895641. The next prime is 404895653. The reversal of 404895645 is 546598404.

404895645 is a `hidden beast` number, since 4 + 0 + 4 + 89 + 564 + 5 = 666.

It is not a de Polignac number, because 404895645 - 22 = 404895641 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 404895645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404895641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112575 + ... + 116115.

It is an arithmetic number, because the mean of its divisors is an integer number (9421720).

Almost surely, 2404895645 is an apocalyptic number.

404895645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

404895645 is an abundant number, since it is smaller than the sum of its proper divisors (499589475).

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

404895645 is a wasteful number, since it uses less digits than its factorization.

404895645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 404895645 is about 20122.0189096422. The cubic root of 404895645 is about 739.8000707760.

The spelling of 404895645 in words is "four hundred four million, eight hundred ninety-five thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 99 105 121 135 165 189 231 297 315 363 385 495 605 693 847 945 1089 1155 1485 1815 2079 2541 3267 3465 3541 4235 5445 7623 10395 10623 12705 16335 17705 22869 24787 31869 38115 38951 53115 74361 95607 114345 116853 123935 159345 194755 223083 272657 350559 371805 428461 478035 584265 669249 817971 1051677 1115415 1285383 1363285 1752795 2142305 2453913 2999227 3346245 3856149 4089855 5258385 6426915 7361739 8997681 11568447 12269565 14996135 19280745 26993043 36808695 44988405 57842235 80979129 134965215 404895645