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53003132 = 22713223487
BaseRepresentation
bin1100101000110…
…0001101111100
310200201211121222
43022030031330
5102032100012
65132012512
71212343040
oct312141574
9120654558
1053003132
1127a12046
1215901138
13ac9a300
14707a020
1549be972
hex328c37c

53003132 has 72 divisors (see below), whose sum is σ = 120024576. Its totient is φ = 20015424.

The previous prime is 53003131. The next prime is 53003147. The reversal of 53003132 is 23130035.

53003132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 53003132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53003131) 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 23 ways as a sum of consecutive naturals, for example, 108593 + ... + 109079.

It is an arithmetic number, because the mean of its divisors is an integer number (1667008).

Almost surely, 253003132 is an apocalyptic number.

53003132 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53003132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60012288).

53003132 is an abundant number, since it is smaller than the sum of its proper divisors (67021444).

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

53003132 is a wasteful number, since it uses less digits than its factorization.

53003132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 53003132 is about 7280.3249927459. The cubic root of 53003132 is about 375.6359744506.

Adding to 53003132 its reverse (23130035), we get a palindrome (76133167).

It can be divided in two parts, 53003 and 132, that added together give a palindrome (53135).

The spelling of 53003132 in words is "fifty-three million, three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 169 182 299 322 338 364 487 598 644 676 974 1183 1196 1948 2093 2366 3409 3887 4186 4732 6331 6818 7774 8372 11201 12662 13636 15548 22402 25324 27209 44317 44804 54418 78407 82303 88634 108836 145613 156814 164606 177268 291226 313628 329212 576121 582452 1019291 1152242 1892969 2038582 2304484 3785938 4077164 7571876 13250783 26501566 53003132