Search a number
-
+
242465004 = 2232191133137
BaseRepresentation
bin11100111001110…
…11100011101100
3121220020111110100
432130323203230
5444032340004
640020511100
76002630025
oct1634734354
9556214410
10242465004
11114957601
126924b490
133b304b22
14242b7c4c
1516446739
hexe73b8ec

242465004 has 72 divisors (see below), whose sum is σ = 651072240. Its totient is φ = 75866112.

The previous prime is 242464993. The next prime is 242465059. The reversal of 242465004 is 400564242.

242465004 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 650 + 0 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75724 + ... + 78860.

It is an arithmetic number, because the mean of its divisors is an integer number (9042670).

Almost surely, 2242465004 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 242465004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325536120).

242465004 is an abundant number, since it is smaller than the sum of its proper divisors (408607236).

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

242465004 is a wasteful number, since it uses less digits than its factorization.

242465004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 242465004 is about 15571.2878080138. The cubic root of 242465004 is about 623.5668530020.

The spelling of 242465004 in words is "two hundred forty-two million, four hundred sixty-five thousand, four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 113 114 171 226 228 339 342 452 678 684 1017 1356 2034 2147 3137 4068 4294 6274 6441 8588 9411 12548 12882 18822 19323 25764 28233 37644 38646 56466 59603 77292 112932 119206 178809 238412 354481 357618 536427 708962 715236 1063443 1072854 1417924 2126886 2145708 3190329 4253772 6380658 6735139 12761316 13470278 20205417 26940556 40410834 60616251 80821668 121232502 242465004