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50130400 = 2552223281
BaseRepresentation
bin1011111100111…
…0110111100000
310111022212222111
42333032313200
5100313133100
64550245104
71146046525
oct277166740
9114285874
1050130400
112632a791
1214956794
13a502878
14692d14c
1546036ba
hex2fcede0

50130400 has 72 divisors (see below), whose sum is σ = 123367104. Its totient is φ = 19891200.

The previous prime is 50130391. The next prime is 50130403. The reversal of 50130400 is 403105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50130403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178260 + ... + 178540.

It is an arithmetic number, because the mean of its divisors is an integer number (1713432).

Almost surely, 250130400 is an apocalyptic number.

50130400 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 50130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61683552).

50130400 is an abundant number, since it is smaller than the sum of its proper divisors (73236704).

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

50130400 is a wasteful number, since it uses less digits than its factorization.

50130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 50130400 is about 7080.2824802405. The cubic root of 50130400 is about 368.7231369879.

Adding to 50130400 its reverse (403105), we get a palindrome (50533505).

The spelling of 50130400 in words is "fifty million, one hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 223 281 400 446 562 800 892 1115 1124 1405 1784 2230 2248 2810 3568 4460 4496 5575 5620 7025 7136 8920 8992 11150 11240 14050 17840 22300 22480 28100 35680 44600 44960 56200 62663 89200 112400 125326 178400 224800 250652 313315 501304 626630 1002608 1253260 1566575 2005216 2506520 3133150 5013040 6266300 10026080 12532600 25065200 50130400