[go: up one dir, main page]

Search a number
-
+
252440424 = 23327348029
BaseRepresentation
bin11110000101111…
…10111101101000
3122121000022011100
433002332331220
51004111043144
641014401400
76153464625
oct1702767550
9577008140
10252440424
1111a550255
1270660260
13403b8442
142575334c
1517267269
hexf0bef68

252440424 has 48 divisors (see below), whose sum is σ = 693072900. Its totient is φ = 82992384.

The previous prime is 252440411. The next prime is 252440443. The reversal of 252440424 is 424044252.

252440424 is a `hidden beast` number, since 252 + 4 + 404 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 252237924 + 202500 = 15882^2 + 450^2 .

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 11 ways as a sum of consecutive naturals, for example, 18759 + ... + 29270.

Almost surely, 2252440424 is an apocalyptic number.

252440424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252440424 is an abundant number, since it is smaller than the sum of its proper divisors (440632476).

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

252440424 is a wasteful number, since it uses less digits than its factorization.

252440424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48114 (or 48107 counting only the distinct ones).

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

The square root of 252440424 is about 15888.3738626708. The cubic root of 252440424 is about 632.0037186664.

Adding to 252440424 its reverse (424044252), we get a palindrome (676484676).

The spelling of 252440424 in words is "two hundred fifty-two million, four hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2628 5256 48029 96058 144087 192116 288174 384232 432261 576348 864522 1152696 1729044 3458088 3506117 7012234 10518351 14024468 21036702 28048936 31555053 42073404 63110106 84146808 126220212 252440424