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5031936 = 21133713

5031936 has 192 divisors, whose sum is σ = 18345600. Its totient is φ = 1327104.

The previous prime is 5031931. The next prime is 5031959. The reversal of 5031936 is 6391305.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5031931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387066 + ... + 387078.

It is an arithmetic number, because the mean of its divisors is an integer number (95550).

Almost surely, 25031936 is an apocalyptic number.

5031936 is a gapful number since it is divisible by the number (56) 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 5031936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9172800).

5031936 is an abundant number, since it is smaller than the sum of its proper divisors (13313664).

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

5031936 is a wasteful number, since it uses less digits than its factorization.

5031936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 5031936 is about 2243.1977175452. The cubic root of 5031936 is about 171.3608875661.

The spelling of 5031936 in words is "five million, thirty-one thousand, nine hundred thirty-six".