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506253153 = 3726775087
BaseRepresentation
bin11110001011001…
…100111101100001
31022021121022202210
4132023030331201
52014100100103
6122122432333
715355036500
oct3613147541
91267538683
10506253153
1123a84853a
121216626a9
1380b643a3
144b342837
152e6a0e03
hex1e2ccf61

506253153 has 24 divisors (see below), whose sum is σ = 786523392. Its totient is φ = 288803424.

The previous prime is 506253133. The next prime is 506253169. The reversal of 506253153 is 351352605.

It is not a de Polignac number, because 506253153 - 213 = 506244961 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 506253153.

It is not an unprimeable number, because it can be changed into a prime (506253103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96976 + ... + 102062.

It is an arithmetic number, because the mean of its divisors is an integer number (32771808).

Almost surely, 2506253153 is an apocalyptic number.

It is an amenable number.

506253153 is a deficient number, since it is larger than the sum of its proper divisors (280270239).

506253153 is a wasteful number, since it uses less digits than its factorization.

506253153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5781 (or 5774 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 506253153 is about 22500.0700665576. The cubic root of 506253153 is about 796.9955814823.

The spelling of 506253153 in words is "five hundred six million, two hundred fifty-three thousand, one hundred fifty-three".

Divisors: 1 3 7 21 49 147 677 2031 4739 5087 14217 15261 33173 35609 99519 106827 249263 747789 3443899 10331697 24107293 72321879 168751051 506253153