Search a number
-
+
253525504 = 292321529
BaseRepresentation
bin11110001110001…
…11111000000000
3122200001102121111
433013013320000
51004400304004
641053533104
76165634261
oct1707077000
9580042544
10253525504
11120121511
1270aa4194
13406a82bb
1425956968
15173cda04
hexf1c7e00

253525504 has 40 divisors (see below), whose sum is σ = 528604560. Its totient is φ = 121245696.

The previous prime is 253525501. The next prime is 253525507. The reversal of 253525504 is 405525352.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (253525501) and next prime (253525507).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253525501) 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 3 ways as a sum of consecutive naturals, for example, 1012 + ... + 22540.

It is an arithmetic number, because the mean of its divisors is an integer number (13215114).

Almost surely, 2253525504 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 253525504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264302280).

253525504 is an abundant number, since it is smaller than the sum of its proper divisors (275079056).

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

253525504 is an equidigital number, since it uses as much as digits as its factorization.

253525504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21570 (or 21554 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 31.

The square root of 253525504 is about 15922.4842282855. The cubic root of 253525504 is about 632.9079509799.

The spelling of 253525504 in words is "two hundred fifty-three million, five hundred twenty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 1472 2944 5888 11776 21529 43058 86116 172232 344464 495167 688928 990334 1377856 1980668 2755712 3961336 5511424 7922672 11022848 15845344 31690688 63381376 126762752 253525504