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252057348 = 223211361961
BaseRepresentation
bin11110000011000…
…01011100000100
3122120021211200100
433001201130010
51004011313343
641002244100
76150311034
oct1701413404
9576254610
10252057348
1111a309464
12704b6630
13402b2c7a
14256938c4
15171dd9d3
hexf061704

252057348 has 36 divisors (see below), whose sum is σ = 642793788. Its totient is φ = 83274240.

The previous prime is 252057341. The next prime is 252057383. The reversal of 252057348 is 843750252.

252057348 is a `hidden beast` number, since 25 + 20 + 573 + 48 = 666.

252057348 is digitally balanced in base 3, 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 98247744 + 153809604 = 9912^2 + 12402^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (252057341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26913 + ... + 35048.

It is an arithmetic number, because the mean of its divisors is an integer number (17855383).

Almost surely, 2252057348 is an apocalyptic number.

It is an amenable number.

252057348 is an abundant number, since it is smaller than the sum of its proper divisors (390736440).

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

252057348 is a wasteful number, since it uses less digits than its factorization.

252057348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62084 (or 62079 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 252057348 is about 15876.3140558506. The cubic root of 252057348 is about 631.6838702307.

It can be divided in two parts, 252057 and 348, that added together give a triangular number (252405 = T710).

The spelling of 252057348 in words is "two hundred fifty-two million, fifty-seven thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 2034 4068 61961 123922 185883 247844 371766 557649 743532 1115298 2230596 7001593 14003186 21004779 28006372 42009558 63014337 84019116 126028674 252057348