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252142341 = 31125961193
BaseRepresentation
bin11110000011101…
…10001100000101
3122120110011021020
433001312030011
51004022023331
641004141353
76151113603
oct1701661405
9576404236
10252142341
1111a367300
1270537859
1340312869
14256b6873
1517208c96
hexf076305

252142341 has 48 divisors (see below), whose sum is σ = 383933760. Its totient is φ = 146995200.

The previous prime is 252142339. The next prime is 252142343. The reversal of 252142341 is 143241252.

It is an interprime number because it is at equal distance from previous prime (252142339) and next prime (252142343).

It is not a de Polignac number, because 252142341 - 21 = 252142339 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252142343) 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 47 ways as a sum of consecutive naturals, for example, 1306341 + ... + 1306533.

It is an arithmetic number, because the mean of its divisors is an integer number (7998620).

Almost surely, 2252142341 is an apocalyptic number.

It is an amenable number.

252142341 is a deficient number, since it is larger than the sum of its proper divisors (131791419).

252142341 is a wasteful number, since it uses less digits than its factorization.

252142341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 327 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 252142341 is about 15878.9905535585. The cubic root of 252142341 is about 631.7548629025.

Adding to 252142341 its reverse (143241252), we get a palindrome (395383593).

The spelling of 252142341 in words is "two hundred fifty-two million, one hundred forty-two thousand, three hundred forty-one".

Divisors: 1 3 11 33 59 61 121 177 183 193 363 579 649 671 1947 2013 2123 3599 6369 7139 7381 10797 11387 11773 21417 22143 23353 34161 35319 39589 70059 118767 125257 129503 375771 388509 435479 694607 1306437 1377827 1424533 2083821 4133481 4273599 7640677 22922031 84047447 252142341