Search a number
-
+
440242452 = 223413127823
BaseRepresentation
bin11010001111011…
…001000100010100
31010200101122010000
4122033121010110
51400200224302
6111403531300
713623666456
oct3217310424
91120348100
10440242452
11206561741
12103529b30
13702915c0
144267c2d6
15289b231c
hex1a3d9114

440242452 has 120 divisors (see below), whose sum is σ = 1250686976. Its totient is φ = 134229312.

The previous prime is 440242447. The next prime is 440242459. The reversal of 440242452 is 254242044.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440242459) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 534513 + ... + 535335.

Almost surely, 2440242452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440242452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625343488).

440242452 is an abundant number, since it is smaller than the sum of its proper divisors (810444524).

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

440242452 is a wasteful number, since it uses less digits than its factorization.

440242452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 440242452 is about 20981.9553902872. The cubic root of 440242452 is about 760.7301685351.

Adding to 440242452 its reverse (254242044), we get a palindrome (694484496).

The spelling of 440242452 in words is "four hundred forty million, two hundred forty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 127 156 162 234 254 324 351 381 468 508 702 762 823 1053 1143 1404 1524 1646 1651 2106 2286 2469 3292 3302 3429 4212 4572 4938 4953 6604 6858 7407 9876 9906 10287 10699 13716 14814 14859 19812 20574 21398 22221 29628 29718 32097 41148 42796 44442 44577 59436 64194 66663 88884 89154 96291 104521 128388 133326 133731 178308 192582 209042 266652 267462 288873 313563 385164 418084 534924 577746 627126 866619 940689 1155492 1254252 1358773 1733238 1881378 2717546 2822067 3466476 3762756 4076319 5435092 5644134 8152638 8466201 11288268 12228957 16305276 16932402 24457914 33864804 36686871 48915828 73373742 110060613 146747484 220121226 440242452