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252640141 = 13293132141
BaseRepresentation
bin11110000111011…
…11101110001101
3122121101110010021
433003233232031
51004133441031
641022542141
76155256115
oct1703575615
9577343107
10252640141
1111a677306
1270737951
1340458310
14257a6045
15172a6511
hexf0efb8d

252640141 has 16 divisors (see below), whose sum is σ = 282486960. Its totient is φ = 224340480.

The previous prime is 252640121. The next prime is 252640159. The reversal of 252640141 is 141046252.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 15634116 + 237006025 = 3954^2 + 15395^2 .

It is not a de Polignac number, because 252640141 - 27 = 252640013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252640121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116931 + ... + 119071.

It is an arithmetic number, because the mean of its divisors is an integer number (17655435).

Almost surely, 2252640141 is an apocalyptic number.

It is an amenable number.

252640141 is a deficient number, since it is larger than the sum of its proper divisors (29846819).

252640141 is a wasteful number, since it uses less digits than its factorization.

252640141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496.

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 252640141 is about 15894.6576244976. The cubic root of 252640141 is about 632.1703436106.

Adding to 252640141 its reverse (141046252), we get a palindrome (393686393).

The spelling of 252640141 in words is "two hundred fifty-two million, six hundred forty thousand, one hundred forty-one".

Divisors: 1 13 29 313 377 2141 4069 9077 27833 62089 118001 670133 807157 8711729 19433857 252640141