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50252400 = 2435521147
BaseRepresentation
bin1011111110110…
…0101001110000
310111120002100000
42333230221300
5100331034100
64553030000
71150065312
oct277545160
9114502300
1050252400
1126403410
12149b5300
13a546263
1469617b2
154629900
hex2feca70

50252400 has 360 divisors, whose sum is σ = 201487104. Its totient is φ = 11923200.

The previous prime is 50252387. The next prime is 50252407. The reversal of 50252400 is 425205.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50252407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1069177 + ... + 1069223.

Almost surely, 250252400 is an apocalyptic number.

50252400 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 50252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100743552).

50252400 is an abundant number, since it is smaller than the sum of its proper divisors (151234704).

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

50252400 is a wasteful number, since it uses less digits than its factorization.

50252400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 50252400 is about 7088.8927203055. The cubic root of 50252400 is about 369.0220093951.

Adding to 50252400 its reverse (425205), we get a palindrome (50677605).

The spelling of 50252400 in words is "fifty million, two hundred fifty-two thousand, four hundred".