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253024436 = 22721976553
BaseRepresentation
bin11110001010011…
…01100010110100
3122122002222021102
433011031202310
51004233240221
641035105232
76161446400
oct1705154264
9578088242
10253024436
1111a90a005
12708a2218
1340561202
1425866100
151733030b
hexf14d8b4

253024436 has 36 divisors (see below), whose sum is σ = 517779108. Its totient is φ = 107872128.

The previous prime is 253024423. The next prime is 253024441. The reversal of 253024436 is 634420352.

253024436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 184796836 + 68227600 = 13594^2 + 8260^2 .

It is a junction number, because it is equal to n+sod(n) for n = 253024399 and 253024408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35336 + ... + 41888.

It is an arithmetic number, because the mean of its divisors is an integer number (14382753).

Almost surely, 2253024436 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 253024436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258889554).

253024436 is an abundant number, since it is smaller than the sum of its proper divisors (264754672).

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

253024436 is a wasteful number, since it uses less digits than its factorization.

253024436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6768 (or 6759 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The square root of 253024436 is about 15906.7418411188. The cubic root of 253024436 is about 632.4907160651.

Adding to 253024436 its reverse (634420352), we get a palindrome (887444788).

The spelling of 253024436 in words is "two hundred fifty-three million, twenty-four thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 28 49 98 196 197 394 788 1379 2758 5516 6553 9653 13106 19306 26212 38612 45871 91742 183484 321097 642194 1284388 1290941 2581882 5163764 9036587 18073174 36146348 63256109 126512218 253024436