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53138442 = 2372612963
BaseRepresentation
bin1100101010110…
…1010000001010
310200222201020110
43022231100022
5102100412232
65134535150
71213445400
oct312552012
9120881213
1053138442
1127aa4775
12159674b6
13b016a86
1470b3470
1549e9acc
hex32ad40a

53138442 has 48 divisors (see below), whose sum is σ = 125697312. Its totient is φ = 14928480.

The previous prime is 53138431. The next prime is 53138467. The reversal of 53138442 is 24483135.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16453 + ... + 19415.

It is an arithmetic number, because the mean of its divisors is an integer number (2618694).

Almost surely, 253138442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53138442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62848656).

53138442 is an abundant number, since it is smaller than the sum of its proper divisors (72558870).

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

53138442 is a wasteful number, since it uses less digits than its factorization.

53138442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3043 (or 3036 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 53138442 is about 7289.6119238269. The cubic root of 53138442 is about 375.9553525151.

The spelling of 53138442 in words is "fifty-three million, one hundred thirty-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 61 98 122 147 183 294 366 427 854 1281 2562 2963 2989 5926 5978 8889 8967 17778 17934 20741 41482 62223 124446 145187 180743 290374 361486 435561 542229 871122 1084458 1265201 2530402 3795603 7591206 8856407 17712814 26569221 53138442