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52434000 = 243353971
BaseRepresentation
bin1100100000000…
…1010001010000
310122122220221000
43020001101100
5101410342000
65111502000
71204452543
oct310012120
9118586830
1052434000
1127663493
1215687900
13ab2b248
146d6c85a
15490b000
hex3201450

52434000 has 160 divisors (see below), whose sum is σ = 188023680. Its totient is φ = 13968000.

The previous prime is 52433987. The next prime is 52434007. The reversal of 52434000 is 43425.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52434007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53515 + ... + 54485.

It is an arithmetic number, because the mean of its divisors is an integer number (1175148).

Almost surely, 252434000 is an apocalyptic number.

52434000 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 52434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94011840).

52434000 is an abundant number, since it is smaller than the sum of its proper divisors (135589680).

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

52434000 is a wasteful number, since it uses less digits than its factorization.

52434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 52434000 is about 7241.1325081095. The cubic root of 52434000 is about 374.2866438552.

Adding to 52434000 its reverse (43425), we get a palindrome (52477425).

The spelling of 52434000 in words is "fifty-two million, four hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 125 135 144 150 180 200 216 225 240 250 270 300 360 375 400 432 450 500 540 600 675 720 750 900 971 1000 1080 1125 1200 1350 1500 1800 1942 2000 2160 2250 2700 2913 3000 3375 3600 3884 4500 4855 5400 5826 6000 6750 7768 8739 9000 9710 10800 11652 13500 14565 15536 17478 18000 19420 23304 24275 26217 27000 29130 34956 38840 43695 46608 48550 52434 54000 58260 69912 72825 77680 87390 97100 104868 116520 121375 131085 139824 145650 174780 194200 209736 218475 233040 242750 262170 291300 349560 364125 388400 419472 436950 485500 524340 582600 655425 699120 728250 873900 971000 1048680 1092375 1165200 1310850 1456500 1747800 1942000 2097360 2184750 2621700 2913000 3277125 3495600 4369500 5243400 5826000 6554250 8739000 10486800 13108500 17478000 26217000 52434000