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53034100 = 22527239317
BaseRepresentation
bin1100101001001…
…1110001110100
310200210102002221
43022103301310
5102034042400
65132412124
71212532240
oct312236164
9120712087
1053034100
1127a33339
1215917044
13acab432
147087420
1549c8c1a
hex3293c74

53034100 has 72 divisors (see below), whose sum is σ = 132491520. Its totient is φ = 18049920.

The previous prime is 53034077. The next prime is 53034103. The reversal of 53034100 is 143035.

53034100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53034103) 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, 167142 + ... + 167458.

It is an arithmetic number, because the mean of its divisors is an integer number (1840160).

Almost surely, 253034100 is an apocalyptic number.

53034100 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 53034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66245760).

53034100 is an abundant number, since it is smaller than the sum of its proper divisors (79457420).

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

53034100 is a wasteful number, since it uses less digits than its factorization.

53034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 53034100 is about 7282.4515103089. The cubic root of 53034100 is about 375.7091174871.

Adding to 53034100 its reverse (143035), we get a palindrome (53177135).

The spelling of 53034100 in words is "fifty-three million, thirty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 239 317 350 478 634 700 956 1195 1268 1585 1673 2219 2390 3170 3346 4438 4780 5975 6340 6692 7925 8365 8876 11095 11950 15850 16730 22190 23900 31700 33460 41825 44380 55475 75763 83650 110950 151526 167300 221900 303052 378815 530341 757630 1060682 1515260 1894075 2121364 2651705 3788150 5303410 7576300 10606820 13258525 26517050 53034100