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1535013252 = 223242639257
BaseRepresentation
bin101101101111110…
…0111000110000100
310221222101202022200
41123133213012010
511120430411002
6412152354500
753016253203
oct13337470604
93858352280
101535013252
117185251a3
1236a0a5a30
131b6031086
14107c1923a
158eb63b1c
hex5b7e7184

1535013252 has 18 divisors (see below), whose sum is σ = 3880172478. Its totient is φ = 511671072.

The previous prime is 1535013203. The next prime is 1535013281. The reversal of 1535013252 is 2523105351.

It is a happy number.

1535013252 is a `hidden beast` number, since 153 + 501 + 3 + 2 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1170050436 + 364962816 = 34206^2 + 19104^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21319593 + ... + 21319664.

Almost surely, 21535013252 is an apocalyptic number.

1535013252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1535013252 is an abundant number, since it is smaller than the sum of its proper divisors (2345159226).

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

1535013252 is a wasteful number, since it uses less digits than its factorization.

1535013252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42639267 (or 42639262 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1535013252 is about 39179.2451688391. The cubic root of 1535013252 is about 1153.5525309446.

The spelling of 1535013252 in words is "one billion, five hundred thirty-five million, thirteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 42639257 85278514 127917771 170557028 255835542 383753313 511671084 767506626 1535013252