Search a number
-
+
252741996 = 2232131015347
BaseRepresentation
bin11110001000010…
…00100101101100
3122121120121211200
433010020211230
51004200220441
641025045500
76156162063
oct1704104554
9577517750
10252741996
1111a736891
1270786890
13404927a0
14257d11da
15172c67b6
hexf10896c

252741996 has 72 divisors (see below), whose sum is σ = 694961904. Its totient is φ = 76982400.

The previous prime is 252741991. The next prime is 252742013. The reversal of 252741996 is 699147252.

It is not an unprimeable number, because it can be changed into a prime (252741991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44595 + ... + 49941.

Almost surely, 2252741996 is an apocalyptic number.

252741996 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252741996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347480952).

252741996 is an abundant number, since it is smaller than the sum of its proper divisors (442219908).

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

252741996 is a wasteful number, since it uses less digits than its factorization.

252741996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5471 (or 5466 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 252741996 is about 15897.8613656051. The cubic root of 252741996 is about 632.2552879625.

The spelling of 252741996 in words is "two hundred fifty-two million, seven hundred forty-one thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 101 117 156 202 234 303 404 468 606 909 1212 1313 1818 2626 3636 3939 5252 5347 7878 10694 11817 15756 16041 21388 23634 32082 47268 48123 64164 69511 96246 139022 192492 208533 278044 417066 540047 625599 834132 1080094 1251198 1620141 2160188 2502396 3240282 4860423 6480564 7020611 9720846 14041222 19441692 21061833 28082444 42123666 63185499 84247332 126370998 252741996