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50230400 = 2752111427
BaseRepresentation
bin1011111110011…
…1010010000000
310111111222011012
42333213102000
5100324333100
64552340052
71146644213
oct277472200
9114458135
1050230400
1126398930
12149a4628
13a53923c
14695777a
154623135
hex2fe7480

50230400 has 96 divisors (see below), whose sum is σ = 135460080. Its totient is φ = 18252800.

The previous prime is 50230381. The next prime is 50230409. The reversal of 50230400 is 403205.

50230400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (50230409) 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 11 ways as a sum of consecutive naturals, for example, 34487 + ... + 35913.

Almost surely, 250230400 is an apocalyptic number.

50230400 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 50230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67730040).

50230400 is an abundant number, since it is smaller than the sum of its proper divisors (85229680).

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

50230400 is a wasteful number, since it uses less digits than its factorization.

50230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 50230400 is about 7087.3408271368. The cubic root of 50230400 is about 368.9681501484.

Adding to 50230400 its reverse (403205), we get a palindrome (50633605).

The spelling of 50230400 in words is "fifty million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 275 320 352 400 440 550 640 704 800 880 1100 1408 1427 1600 1760 2200 2854 3200 3520 4400 5708 7040 7135 8800 11416 14270 15697 17600 22832 28540 31394 35200 35675 45664 57080 62788 71350 78485 91328 114160 125576 142700 156970 182656 228320 251152 285400 313940 392425 456640 502304 570800 627880 784850 913280 1004608 1141600 1255760 1569700 2009216 2283200 2511520 3139400 4566400 5023040 6278800 10046080 12557600 25115200 50230400