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253744542 = 23346110193
BaseRepresentation
bin11110001111111…
…01010110011110
3122200110120002000
433013331112132
51004424311132
641102343130
76200536002
oct1707752636
9580416060
10253744542
11120261037
1270b8aaa6
1340753bcc
14259b2702
151742387c
hexf1fd59e

253744542 has 32 divisors (see below), whose sum is σ = 565155360. Its totient is φ = 84389760.

The previous prime is 253744541. The next prime is 253744553. The reversal of 253744542 is 245447352.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 253744497 and 253744506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253744541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19798 + ... + 29990.

It is an arithmetic number, because the mean of its divisors is an integer number (17661105).

Almost surely, 2253744542 is an apocalyptic number.

253744542 is an abundant number, since it is smaller than the sum of its proper divisors (311410818).

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

253744542 is a wasteful number, since it uses less digits than its factorization.

253744542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10665 (or 10659 counting only the distinct ones).

The product of its digits is 134400, while the sum is 36.

The square root of 253744542 is about 15929.3610041332. The cubic root of 253744542 is about 633.0901693162.

The spelling of 253744542 in words is "two hundred fifty-three million, seven hundred forty-four thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 461 922 1383 2766 4149 8298 10193 12447 20386 24894 30579 61158 91737 183474 275211 550422 4698973 9397946 14096919 28193838 42290757 84581514 126872271 253744542