Search a number
-
+
252906052 = 22721399283
BaseRepresentation
bin11110001001100…
…00101001000100
3122121212221212211
433010300221010
51004220443202
641032353204
76160444300
oct1704605104
9577787784
10252906052
1111a839073
1270845804
134051c369
1425834d00
151730a1d7
hexf130a44

252906052 has 36 divisors (see below), whose sum is σ = 518604240. Its totient is φ = 107596944.

The previous prime is 252906041. The next prime is 252906053. The reversal of 252906052 is 250609252.

It is a super-2 number, since 2×2529060522 = 127922942276453408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252906053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22603 + ... + 31885.

Almost surely, 2252906052 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 252906052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259302120).

252906052 is an abundant number, since it is smaller than the sum of its proper divisors (265698188).

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

252906052 is a wasteful number, since it uses less digits than its factorization.

252906052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9440 (or 9431 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 252906052 is about 15903.0202162985. The cubic root of 252906052 is about 632.3920583191.

It can be divided in two parts, 252 and 906052, that added together give a square (906304 = 9522).

The spelling of 252906052 in words is "two hundred fifty-two million, nine hundred six thousand, fifty-two".

Divisors: 1 2 4 7 14 28 49 98 139 196 278 556 973 1946 3892 6811 9283 13622 18566 27244 37132 64981 129962 259924 454867 909734 1290337 1819468 2580674 5161348 9032359 18064718 36129436 63226513 126453026 252906052