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53432500 = 2254112967
BaseRepresentation
bin1100101111010…
…1000010110100
310201112122121111
43023311002310
5102134320000
65145124404
71216111612
oct313650264
9121478544
1053432500
11281856a0
1215a89704
13b0ba884
14714c6b2
154a56cba
hex32f50b4

53432500 has 120 divisors (see below), whose sum is σ = 133832160. Its totient is φ = 18480000.

The previous prime is 53432497. The next prime is 53432501. The reversal of 53432500 is 523435.

53432500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53432501) 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 39 ways as a sum of consecutive naturals, for example, 797467 + ... + 797533.

It is an arithmetic number, because the mean of its divisors is an integer number (1115268).

Almost surely, 253432500 is an apocalyptic number.

53432500 is a gapful number since it is divisible by the number (50) 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 53432500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66916080).

53432500 is an abundant number, since it is smaller than the sum of its proper divisors (80399660).

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

53432500 is a wasteful number, since it uses less digits than its factorization.

53432500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 53432500 is about 7309.7537578225. The cubic root of 53432500 is about 376.6475656206.

Adding to 53432500 its reverse (523435), we get a palindrome (53955935).

The spelling of 53432500 in words is "fifty-three million, four hundred thirty-two thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 67 100 110 116 125 134 145 220 250 268 275 290 319 335 500 550 580 625 638 670 725 737 1100 1250 1276 1340 1375 1450 1474 1595 1675 1943 2500 2750 2900 2948 3190 3350 3625 3685 3886 5500 6380 6700 6875 7250 7370 7772 7975 8375 9715 13750 14500 14740 15950 16750 18125 18425 19430 21373 27500 31900 33500 36250 36850 38860 39875 41875 42746 48575 72500 73700 79750 83750 85492 92125 97150 106865 159500 167500 184250 194300 199375 213730 242875 368500 398750 427460 460625 485750 534325 797500 921250 971500 1068650 1214375 1842500 2137300 2428750 2671625 4857500 5343250 10686500 13358125 26716250 53432500