Search a number
-
+
50124000 = 253534177
BaseRepresentation
bin1011111100110…
…1010011100000
310111022120012110
42333031103200
5100312432000
64550155320
71146022053
oct277152340
9114276173
1050124000
11263259a3
1214952b40
13a4cc994
14692aa9a
154601850
hex2fcd4e0

50124000 has 96 divisors (see below), whose sum is σ = 164245536. Its totient is φ = 13363200.

The previous prime is 50123989. The next prime is 50124013. The reversal of 50124000 is 42105.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9912 + ... + 14088.

It is an arithmetic number, because the mean of its divisors is an integer number (1710891).

Almost surely, 250124000 is an apocalyptic number.

50124000 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 50124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82122768).

50124000 is an abundant number, since it is smaller than the sum of its proper divisors (114121536).

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

50124000 is a wasteful number, since it uses less digits than its factorization.

50124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4205 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 50124000 is about 7079.8305064458. The cubic root of 50124000 is about 368.7074450557.

Adding to 50124000 its reverse (42105), we get a palindrome (50166105).

The spelling of 50124000 in words is "fifty million, one hundred twenty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 4177 6000 8354 12000 12531 16708 20885 25062 33416 41770 50124 62655 66832 83540 100248 104425 125310 133664 167080 200496 208850 250620 313275 334160 400992 417700 501240 522125 626550 668320 835400 1002480 1044250 1253100 1566375 1670800 2004960 2088500 2506200 3132750 3341600 4177000 5012400 6265500 8354000 10024800 12531000 16708000 25062000 50124000