Search a number
-
+
50053600 = 2552193789
BaseRepresentation
bin1011111011110…
…0000111100000
310111011222122001
42332330013200
5100303203400
64544453344
71145306602
oct276740740
9114158561
1050053600
1126288013
121491a254
13a4a691c
14690d172
1545daa6a
hex2fbc1e0

50053600 has 144 divisors (see below), whose sum is σ = 133585200. Its totient is φ = 18247680.

The previous prime is 50053573. The next prime is 50053607. The reversal of 50053600 is 635005.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50053607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 562356 + ... + 562444.

It is an arithmetic number, because the mean of its divisors is an integer number (927675).

Almost surely, 250053600 is an apocalyptic number.

50053600 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 50053600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66792600).

50053600 is an abundant number, since it is smaller than the sum of its proper divisors (83531600).

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

50053600 is a wasteful number, since it uses less digits than its factorization.

50053600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 50053600 is about 7074.8568890120. The cubic root of 50053600 is about 368.5347455773.

Adding to 50053600 its reverse (635005), we get a palindrome (50688605).

It can be divided in two parts, 50053 and 600, that added together give a cube (50653 = 373).

The spelling of 50053600 in words is "fifty million, fifty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 37 38 40 50 74 76 80 89 95 100 148 152 160 178 185 190 200 296 304 356 370 380 400 445 475 592 608 703 712 740 760 800 890 925 950 1184 1406 1424 1480 1520 1691 1780 1850 1900 2225 2812 2848 2960 3040 3293 3382 3515 3560 3700 3800 4450 5624 5920 6586 6764 7030 7120 7400 7600 8455 8900 11248 13172 13528 14060 14240 14800 15200 16465 16910 17575 17800 22496 26344 27056 28120 29600 32930 33820 35150 35600 42275 52688 54112 56240 62567 65860 67640 70300 71200 82325 84550 105376 112480 125134 131720 135280 140600 164650 169100 250268 263440 270560 281200 312835 329300 338200 500536 526880 562400 625670 658600 676400 1001072 1251340 1317200 1352800 1564175 2002144 2502680 2634400 3128350 5005360 6256700 10010720 12513400 25026800 50053600