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252532040 = 235192291451
BaseRepresentation
bin11110000110101…
…01010101001000
3122121011221211112
433003111111020
51004122011130
641020345452
76154326005
oct1703252510
9577157745
10252532040
1111a603072
12706a5288
134041b057
14257788ac
1517284495
hexf0d5548

252532040 has 64 divisors (see below), whose sum is σ = 601128000. Its totient is φ = 95212800.

The previous prime is 252532037. The next prime is 252532043. The reversal of 252532040 is 40235252.

It is an interprime number because it is at equal distance from previous prime (252532037) and next prime (252532043).

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 252531997 and 252532015.

It is not an unprimeable number, because it can be changed into a prime (252532043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173315 + ... + 174765.

It is an arithmetic number, because the mean of its divisors is an integer number (9392625).

Almost surely, 2252532040 is an apocalyptic number.

252532040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252532040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300564000).

252532040 is an abundant number, since it is smaller than the sum of its proper divisors (348595960).

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

252532040 is a wasteful number, since it uses less digits than its factorization.

252532040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 252532040 is about 15891.2567155653. The cubic root of 252532040 is about 632.0801652838.

Adding to 252532040 its reverse (40235252), we get a palindrome (292767292).

The spelling of 252532040 in words is "two hundred fifty-two million, five hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 229 380 458 760 916 1145 1451 1832 2290 2902 4351 4580 5804 7255 8702 9160 11608 14510 17404 21755 27569 29020 34808 43510 55138 58040 87020 110276 137845 174040 220552 275690 332279 551380 664558 1102760 1329116 1661395 2658232 3322790 6313301 6645580 12626602 13291160 25253204 31566505 50506408 63133010 126266020 252532040