Search a number
-
+
253852452 = 223274721433
BaseRepresentation
bin11110010000101…
…11101100100100
3122200200001002200
433020113230210
51004441234302
641104534500
76201465420
oct1710275444
9580601080
10253852452
11120325117
1271021430
1340791069
14259ddb80
151744581c
hexf217b24

253852452 has 72 divisors (see below), whose sum is σ = 748989696. Its totient is φ = 70982784.

The previous prime is 253852447. The next prime is 253852493. The reversal of 253852452 is 254258352.

It is a happy number.

253852452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1128 + ... + 22560.

Almost surely, 2253852452 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 253852452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374494848).

253852452 is an abundant number, since it is smaller than the sum of its proper divisors (495137244).

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

253852452 is a wasteful number, since it uses less digits than its factorization.

253852452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21497 (or 21492 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 253852452 is about 15932.7477856144. The cubic root of 253852452 is about 633.1799013981.

The spelling of 253852452 in words is "two hundred fifty-three million, eight hundred fifty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 423 564 658 846 987 1316 1692 1974 2961 3948 5922 11844 21433 42866 64299 85732 128598 150031 192897 257196 300062 385794 450093 600124 771588 900186 1007351 1350279 1800372 2014702 2700558 3022053 4029404 5401116 6044106 7051457 9066159 12088212 14102914 18132318 21154371 28205828 36264636 42308742 63463113 84617484 126926226 253852452