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252004428 = 223213538471
BaseRepresentation
bin11110000010101…
…00100001001100
3122120012011002100
433001110201030
51004003120203
641001155100
76150000534
oct1701244114
9576164070
10252004428
1111a282725
127048ba90
1340294b60
142567c4c4
15171ccea3
hexf05484c

252004428 has 36 divisors (see below), whose sum is σ = 686013328. Its totient is φ = 77539680.

The previous prime is 252004427. The next prime is 252004433. The reversal of 252004428 is 824400252.

It is a happy number.

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

252004428 is a modest number, since divided by 4428 gives 2520 as remainder.

It is not an unprimeable number, because it can be changed into a prime (252004427) 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, 268768 + ... + 269703.

Almost surely, 2252004428 is an apocalyptic number.

It is an amenable number.

252004428 is an abundant number, since it is smaller than the sum of its proper divisors (434008900).

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

252004428 is a wasteful number, since it uses less digits than its factorization.

252004428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538494 (or 538489 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 252004428 is about 15874.6473346654. The cubic root of 252004428 is about 631.6396593260.

The spelling of 252004428 in words is "two hundred fifty-two million, four thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 538471 1076942 1615413 2153884 3230826 4846239 6461652 7000123 9692478 14000246 19384956 21000369 28000492 42000738 63001107 84001476 126002214 252004428