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5304937 = 113147331
BaseRepresentation
bin10100001111001001101001
3100222112000011
4110033021221
52324224222
6305411521
763043201
oct24171151
910875004
105304937
112aa3750
121939ba1
131139821
149c1401
156ebc77
hex50f269

5304937 has 16 divisors (see below), whose sum is σ = 6119424. Its totient is φ = 4554000.

The previous prime is 5304913. The next prime is 5304967. The reversal of 5304937 is 7394035.

It is not a de Polignac number, because 5304937 - 219 = 4780649 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5304899 and 5304908.

It is not an unprimeable number, because it can be changed into a prime (5304967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15862 + ... + 16192.

It is an arithmetic number, because the mean of its divisors is an integer number (382464).

Almost surely, 25304937 is an apocalyptic number.

5304937 is the 1457-th heptagonal number.

It is an amenable number.

5304937 is a deficient number, since it is larger than the sum of its proper divisors (814487).

5304937 is a wasteful number, since it uses less digits than its factorization.

5304937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420.

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 5304937 is about 2303.2448849395. The cubic root of 5304937 is about 174.4054599650.

It can be divided in two parts, 5304 and 937, that added together give a square (6241 = 792).

The spelling of 5304937 in words is "five million, three hundred four thousand, nine hundred thirty-seven".

Divisors: 1 11 31 47 331 341 517 1457 3641 10261 15557 16027 112871 171127 482267 5304937