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50429400 = 23352712007
BaseRepresentation
bin1100000001011…
…1110111011000
310111220002010120
43000113313120
5100402220100
65000513240
71151433330
oct300276730
9114802116
1050429400
112651439a
1214a7b820
13a5a89a8
1469aa0c0
1546620a0
hex3017dd8

50429400 has 96 divisors (see below), whose sum is σ = 178679040. Its totient is φ = 11525760.

The previous prime is 50429399. The next prime is 50429417. The reversal of 50429400 is 492405.

50429400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1804 + ... + 10203.

It is an arithmetic number, because the mean of its divisors is an integer number (1861240).

Almost surely, 250429400 is an apocalyptic number.

50429400 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 50429400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89339520).

50429400 is an abundant number, since it is smaller than the sum of its proper divisors (128249640).

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

50429400 is a wasteful number, since it uses less digits than its factorization.

50429400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12033 (or 12024 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 50429400 is about 7101.3660657651. The cubic root of 50429400 is about 369.4547605907.

The spelling of 50429400 in words is "fifty million, four hundred twenty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 12007 24014 36021 48028 60035 72042 84049 96056 120070 144084 168098 180105 240140 252147 288168 300175 336196 360210 420245 480280 504294 600350 672392 720420 840490 900525 1008588 1200700 1260735 1440840 1680980 1801050 2017176 2101225 2401400 2521470 3361960 3602100 4202450 5042940 6303675 7204200 8404900 10085880 12607350 16809800 25214700 50429400