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50201400 = 23352312699
BaseRepresentation
bin1011111110000…
…0001100111000
310111110111101010
42333200030320
5100322421100
64551553520
71146463524
oct277401470
9114414333
1050201400
1126379067
121498b8a0
13a528c92
14694ad84
154619750
hex2fe0338

50201400 has 96 divisors (see below), whose sum is σ = 160704000. Its totient is φ = 12950400.

The previous prime is 50201383. The next prime is 50201447. The reversal of 50201400 is 410205.

50201400 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 (12).

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, 17251 + ... + 19949.

It is an arithmetic number, because the mean of its divisors is an integer number (1674000).

Almost surely, 250201400 is an apocalyptic number.

50201400 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 50201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80352000).

50201400 is an abundant number, since it is smaller than the sum of its proper divisors (110502600).

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

50201400 is a wasteful number, since it uses less digits than its factorization.

50201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2740 counting only the distinct ones).

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

The square root of 50201400 is about 7085.2946304300. The cubic root of 50201400 is about 368.8971298353.

Adding to 50201400 its reverse (410205), we get a palindrome (50611605).

The spelling of 50201400 in words is "fifty million, two hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 1240 1550 1860 2325 2699 3100 3720 4650 5398 6200 8097 9300 10796 13495 16194 18600 21592 26990 32388 40485 53980 64776 67475 80970 83669 107960 134950 161940 167338 202425 251007 269900 323880 334676 404850 418345 502014 539800 669352 809700 836690 1004028 1255035 1619400 1673380 2008056 2091725 2510070 3346760 4183450 5020140 6275175 8366900 10040280 12550350 16733800 25100700 50201400