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252130536 = 23337172577
BaseRepresentation
bin11110000011100…
…11010011101000
3122120102120002000
433001303103220
51004021134121
641004011000
76151034310
oct1701632350
9576376060
10252130536
1111a359449
1270530a60
134030a388
14256b2440
1517205526
hexf0734e8

252130536 has 192 divisors, whose sum is σ = 851740800. Its totient is φ = 67682304.

The previous prime is 252130523. The next prime is 252130561. The reversal of 252130536 is 635031252.

252130536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436680 + ... + 437256.

It is an arithmetic number, because the mean of its divisors is an integer number (4436150).

Almost surely, 2252130536 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 252130536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425870400).

252130536 is an abundant number, since it is smaller than the sum of its proper divisors (599610264).

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

252130536 is a wasteful number, since it uses less digits than its factorization.

252130536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 252130536 is about 15878.6188316239. The cubic root of 252130536 is about 631.7450034153.

Adding to 252130536 its reverse (635031252), we get a palindrome (887161788).

The spelling of 252130536 in words is "two hundred fifty-two million, one hundred thirty thousand, five hundred thirty-six".