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53007534 = 235293761
BaseRepresentation
bin1100101000110…
…1010010101110
310200202001200000
43022031102232
5102032220114
65132045130
71212361626
oct312152256
9120661600
1053007534
1127a15388
12159037a6
13ac9c308
14707b886
1549c0e09
hex328d4ae

53007534 has 48 divisors (see below), whose sum is σ = 123243120. Its totient is φ = 17055360.

The previous prime is 53007503. The next prime is 53007553. The reversal of 53007534 is 43570035.

It is a happy number.

53007534 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×530075342 = 5619597321522312, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 53007498 and 53007507.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12214 + ... + 15974.

It is an arithmetic number, because the mean of its divisors is an integer number (2567565).

Almost surely, 253007534 is an apocalyptic number.

53007534 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 53007534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61621560).

53007534 is an abundant number, since it is smaller than the sum of its proper divisors (70235586).

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

53007534 is a wasteful number, since it uses less digits than its factorization.

53007534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807 (or 3795 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 53007534 is about 7280.6273081377. The cubic root of 53007534 is about 375.6463732309.

Adding to 53007534 its reverse (43570035), we get a palindrome (96577569).

The spelling of 53007534 in words is "fifty-three million, seven thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 243 261 486 522 783 1566 2349 3761 4698 7047 7522 11283 14094 22566 33849 67698 101547 109069 203094 218138 304641 327207 609282 654414 913923 981621 1827846 1963242 2944863 5889726 8834589 17669178 26503767 53007534