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53189800 = 23522331373
BaseRepresentation
bin1100101011100…
…1110010101000
310201002022200121
43022321302220
5102104033200
65140013024
71214051206
oct312716250
9121068617
1053189800
112802a314
1215991174
13b034271
1470c8076
154a09e1a
hex32b9ca8

53189800 has 96 divisors (see below), whose sum is σ = 133562880. Its totient is φ = 19641600.

The previous prime is 53189791. The next prime is 53189809. The reversal of 53189800 is 898135.

53189800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53189791) and next prime (53189809).

It is not an unprimeable number, because it can be changed into a prime (53189809) 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, 142414 + ... + 142786.

It is an arithmetic number, because the mean of its divisors is an integer number (1391280).

Almost surely, 253189800 is an apocalyptic number.

53189800 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 53189800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66781440).

53189800 is an abundant number, since it is smaller than the sum of its proper divisors (80373080).

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

53189800 is a wasteful number, since it uses less digits than its factorization.

53189800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 53189800 is about 7293.1337571719. The cubic root of 53189800 is about 376.0764330810.

The spelling of 53189800 in words is "fifty-three million, one hundred eighty-nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 23 25 31 40 46 50 62 92 100 115 124 155 184 200 230 248 310 373 460 575 620 713 746 775 920 1150 1240 1426 1492 1550 1865 2300 2852 2984 3100 3565 3730 4600 5704 6200 7130 7460 8579 9325 11563 14260 14920 17158 17825 18650 23126 28520 34316 35650 37300 42895 46252 57815 68632 71300 74600 85790 92504 115630 142600 171580 214475 231260 265949 289075 343160 428950 462520 531898 578150 857900 1063796 1156300 1329745 1715800 2127592 2312600 2659490 5318980 6648725 10637960 13297450 26594900 53189800