Search a number
-
+
253847244 = 223723491237
BaseRepresentation
bin11110010000101…
…10011011001100
3122200122202221210
433020112123030
51004441102434
641104454420
76201444300
oct1710263314
9580582853
10253847244
11120321212
127101a410
134078b891
14259dbd00
1517443ee9
hexf2166cc

253847244 has 72 divisors (see below), whose sum is σ = 691546800. Its totient is φ = 72261504.

The previous prime is 253847227. The next prime is 253847249. The reversal of 253847244 is 442748352.

It is a happy number.

253847244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (253847249) 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, 204594 + ... + 205830.

Almost surely, 2253847244 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 253847244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345773400).

253847244 is an abundant number, since it is smaller than the sum of its proper divisors (437699556).

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

253847244 is a wasteful number, since it uses less digits than its factorization.

253847244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1598 counting only the distinct ones).

The product of its digits is 215040, while the sum is 39.

The square root of 253847244 is about 15932.5843478075. The cubic root of 253847244 is about 633.1755712929.

The spelling of 253847244 in words is "two hundred fifty-three million, eight hundred forty-seven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 349 588 698 1047 1237 1396 2094 2443 2474 3711 4188 4886 4948 7329 7422 8659 9772 14658 14844 17101 17318 25977 29316 34202 34636 51303 51954 60613 68404 102606 103908 121226 181839 205212 242452 363678 431713 727356 863426 1295139 1726852 2590278 3021991 5180556 6043982 9065973 12087964 18131946 21153937 36263892 42307874 63461811 84615748 126923622 253847244