Search a number
-
+
252140688 = 243621617
BaseRepresentation
bin11110000011101…
…01110010010000
3122120110002000000
433001311302100
51004022000223
641004130000
76151106022
oct1701656220
9576402000
10252140688
1111a366038
1270536900
1340311b97
14256b6012
1517208543
hexf075c90

252140688 has 70 divisors (see below), whose sum is σ = 732482694. Its totient is φ = 84043008.

The previous prime is 252140683. The next prime is 252140731. The reversal of 252140688 is 886041252.

It can be written as a sum of positive squares in only one way, i.e., 179345664 + 72795024 = 13392^2 + 8532^2 .

It is a super-2 number, since 2×2521406882 = 127149853090226688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (252140683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 856 + ... + 22472.

Almost surely, 2252140688 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 252140688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366241347).

252140688 is an abundant number, since it is smaller than the sum of its proper divisors (480342006).

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

252140688 is an equidigital number, since it uses as much as digits as its factorization.

252140688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21643 (or 21622 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 252140688 is about 15878.9385035650. The cubic root of 252140688 is about 631.7534823423.

The spelling of 252140688 in words is "two hundred fifty-two million, one hundred forty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 21617 43234 64851 86468 129702 172936 194553 259404 345872 389106 518808 583659 778212 1037616 1167318 1556424 1750977 2334636 3112848 3501954 4669272 5252931 7003908 9338544 10505862 14007816 15758793 21011724 28015632 31517586 42023448 63035172 84046896 126070344 252140688