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50408000 = 26536301
BaseRepresentation
bin1100000001001…
…0101001000000
310111211222202222
43000102221000
5100401024000
65000230212
71151314046
oct300225100
9114758688
1050408000
11264aa305
1214a6b368
13a59c026
1469a2396
15465aa85
hex3012a40

50408000 has 56 divisors (see below), whose sum is σ = 124855224. Its totient is φ = 20160000.

The previous prime is 50407991. The next prime is 50408027. The reversal of 50408000 is 80405.

It can be written as a sum of positive squares in 4 ways, for example, as 1183744 + 49224256 = 1088^2 + 7016^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 50408000.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4850 + ... + 11150.

Almost surely, 250408000 is an apocalyptic number.

50408000 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 50408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62427612).

50408000 is an abundant number, since it is smaller than the sum of its proper divisors (74447224).

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

50408000 is an equidigital number, since it uses as much as digits as its factorization.

50408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6328 (or 6308 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 50408000 is about 7099.8591535326. The cubic root of 50408000 is about 369.4024931270.

Adding to 50408000 its reverse (80405), we get a palindrome (50488405).

The spelling of 50408000 in words is "fifty million, four hundred eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 6301 8000 12602 25204 31505 50408 63010 100816 126020 157525 201632 252040 315050 403264 504080 630100 787625 1008160 1260200 1575250 2016320 2520400 3150500 5040800 6301000 10081600 12602000 25204000 50408000