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253012452 = 22371133173
BaseRepresentation
bin11110001010010…
…10100111100100
3122122002100211120
433011022213210
51004232344302
641034533540
76161366430
oct1705124744
9578070746
10253012452
1111a901000
12708972b0
1340558914
14258619c0
151732b9bc
hexf14a9e4

253012452 has 192 divisors, whose sum is σ = 776552448. Its totient is φ = 62726400.

The previous prime is 253012447. The next prime is 253012453. The reversal of 253012452 is 254210352.

253012452 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 (253012453) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3465888 + ... + 3465960.

It is an arithmetic number, because the mean of its divisors is an integer number (4044544).

Almost surely, 2253012452 is an apocalyptic number.

253012452 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253012452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388276224).

253012452 is an abundant number, since it is smaller than the sum of its proper divisors (523539996).

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

253012452 is a wasteful number, since it uses less digits than its factorization.

253012452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 253012452 is about 15906.3651410371. The cubic root of 253012452 is about 632.4807303518.

The spelling of 253012452 in words is "two hundred fifty-three million, twelve thousand, four hundred fifty-two".