[go: up one dir, main page]

Search a number
-
+
252242432 = 291337897
BaseRepresentation
bin11110000100011…
…10101000000000
3122120122020120022
433002032220000
51004033224212
641010233012
76152011451
oct1702165000
9576566508
10252242432
1111a425522
1270585768
13403492a0
1425701128
1517228772
hexf08ea00

252242432 has 40 divisors (see below), whose sum is σ = 542775156. Its totient is φ = 116416512.

The previous prime is 252242411. The next prime is 252242437. The reversal of 252242432 is 234242252.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 185395456 + 66846976 = 13616^2 + 8176^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (252242437) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12293 + ... + 25604.

Almost surely, 2252242432 is an apocalyptic number.

It is an amenable number.

252242432 is an abundant number, since it is smaller than the sum of its proper divisors (290532724).

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

252242432 is an equidigital number, since it uses as much as digits as its factorization.

252242432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37928 (or 37912 counting only the distinct ones).

The product of its digits is 7680, while the sum is 26.

The square root of 252242432 is about 15882.1419210382. The cubic root of 252242432 is about 631.8384461285.

Adding to 252242432 its reverse (234242252), we get a palindrome (486484684).

The spelling of 252242432 in words is "two hundred fifty-two million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1664 3328 6656 37897 75794 151588 303176 492661 606352 985322 1212704 1970644 2425408 3941288 4850816 7882576 9701632 15765152 19403264 31530304 63060608 126121216 252242432