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5035521400 = 2352713337821
BaseRepresentation
bin1001011000010001…
…11111010101111000
3110222221012222202121
410230020333111320
540303043141100
62151400411024
7235533140260
oct45410772570
913887188677
105035521400
112154469838
12b86476a74
13623317a80
1435aaaa7a0
151e712151a
hex12c23f578

5035521400 has 192 divisors, whose sum is σ = 14469698880. Its totient is φ = 1586995200.

The previous prime is 5035521389. The next prime is 5035521437. The reversal of 5035521400 is 41255305.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6132990 + ... + 6133810.

It is an arithmetic number, because the mean of its divisors is an integer number (75363015).

Almost surely, 25035521400 is an apocalyptic number.

5035521400 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 5035521400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7234849440).

5035521400 is an abundant number, since it is smaller than the sum of its proper divisors (9434177480).

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

5035521400 is a wasteful number, since it uses less digits than its factorization.

5035521400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 5035521400 is about 70961.4078214349. The cubic root of 5035521400 is about 1714.0157776692.

Adding to 5035521400 its reverse (41255305), we get a palindrome (5076776705).

The spelling of 5035521400 in words is "five billion, thirty-five million, five hundred twenty-one thousand, four hundred".