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53242434 = 2347291619
BaseRepresentation
bin1100101100011…
…0101001000010
310201011222220000
43023012221002
5102112224214
65141100430
71214360520
oct313065102
9121158800
1053242434
1128065913
12159b7716
13b0521cb
1470dd310
154a1a809
hex32c6a42

53242434 has 80 divisors (see below), whose sum is σ = 141134400. Its totient is φ = 14678496.

The previous prime is 53242411. The next prime is 53242457. The reversal of 53242434 is 43424235.

It is an interprime number because it is at equal distance from previous prime (53242411) and next prime (53242457).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 53242398 and 53242407.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 32077 + ... + 33695.

It is an arithmetic number, because the mean of its divisors is an integer number (1764180).

Almost surely, 253242434 is an apocalyptic number.

53242434 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 53242434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70567200).

53242434 is an abundant number, since it is smaller than the sum of its proper divisors (87891966).

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

53242434 is a wasteful number, since it uses less digits than its factorization.

53242434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1660 counting only the distinct ones).

The product of its digits is 11520, while the sum is 27.

The square root of 53242434 is about 7296.7413274694. The cubic root of 53242434 is about 376.2004410761.

Adding to 53242434 its reverse (43424235), we get a palindrome (96666669).

The spelling of 53242434 in words is "fifty-three million, two hundred forty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 81 87 126 162 174 189 203 261 378 406 522 567 609 783 1134 1218 1566 1619 1827 2349 3238 3654 4698 4857 5481 9714 10962 11333 14571 16443 22666 29142 32886 33999 43713 46951 67998 87426 93902 101997 131139 140853 203994 262278 281706 305991 328657 422559 611982 657314 845118 917973 985971 1267677 1835946 1971942 2535354 2957913 3803031 5915826 7606062 8873739 17747478 26621217 53242434