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5037984 = 25337317
BaseRepresentation
bin10011001101111110100000
3100110221211000
4103031332200
52242203414
6255552000
760552000
oct23157640
910427730
105037984
112931126
12182b600
131075173
14952000
15697b09
hex4cdfa0

5037984 has 192 divisors, whose sum is σ = 18144000. Its totient is φ = 1354752.

The previous prime is 5037961. The next prime is 5037997. The reversal of 5037984 is 4897305.

5037984 is a `hidden beast` number, since 503 + 79 + 84 = 666.

5037984 is digitally balanced in base 8, 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 (36).

5037984 is strictly pandigital in base 8.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296344 + ... + 296360.

It is an arithmetic number, because the mean of its divisors is an integer number (94500).

Almost surely, 25037984 is an apocalyptic number.

5037984 is a gapful number since it is divisible by the number (54) 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 5037984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9072000).

5037984 is an abundant number, since it is smaller than the sum of its proper divisors (13106016).

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

5037984 is a wasteful number, since it uses less digits than its factorization.

5037984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5037984 is about 2244.5453882691. The cubic root of 5037984 is about 171.4295142805.

The spelling of 5037984 in words is "five million, thirty-seven thousand, nine hundred eighty-four".