Search a number
-
+
242684325 = 325213292861
BaseRepresentation
bin11100111011100…
…01000110100101
3121220122122022100
432131301012211
5444111344300
640025322313
76004532322
oct1635610645
9556578270
10242684325
11114a97364
1269336399
133b3808c0
1424333b49
151648b700
hexe7711a5

242684325 has 72 divisors (see below), whose sum is σ = 484422120. Its totient is φ = 115315200.

The previous prime is 242684311. The next prime is 242684327. The reversal of 242684325 is 523486242.

It can be written as a sum of positive squares in 12 ways, for example, as 97891236 + 144793089 = 9894^2 + 12033^2 .

It is not a de Polignac number, because 242684325 - 28 = 242684069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 242684325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242684327) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83395 + ... + 86255.

It is an arithmetic number, because the mean of its divisors is an integer number (6728085).

Almost surely, 2242684325 is an apocalyptic number.

242684325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242684325 is a deficient number, since it is larger than the sum of its proper divisors (241737795).

242684325 is a wasteful number, since it uses less digits than its factorization.

242684325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919 (or 2911 counting only the distinct ones).

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

The square root of 242684325 is about 15578.3286972640. The cubic root of 242684325 is about 623.7548115232.

The spelling of 242684325 in words is "two hundred forty-two million, six hundred eighty-four thousand, three hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 29 39 45 65 75 87 117 145 195 225 261 325 377 435 585 725 975 1131 1305 1885 2175 2861 2925 3393 5655 6525 8583 9425 14305 16965 25749 28275 37193 42915 71525 82969 84825 111579 128745 185965 214575 248907 334737 414845 557895 643725 746721 929825 1078597 1244535 1673685 2074225 2789475 3235791 3733605 5392985 6222675 8368425 9707373 16178955 18668025 26964925 48536865 80894775 242684325