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5208736 = 251319659
BaseRepresentation
bin10011110111101010100000
3100210122001011
4103313222200
52313134421
6303350304
762162551
oct23675240
910718034
105208736
112a38445
1218b2394
131104ac0
14998328
156cd4e1
hex4f7aa0

5208736 has 48 divisors (see below), whose sum is σ = 11642400. Its totient is φ = 2274048.

The previous prime is 5208727. The next prime is 5208739. The reversal of 5208736 is 6378025.

It is a junction number, because it is equal to n+sod(n) for n = 5208698 and 5208707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5208739) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7575 + ... + 8233.

It is an arithmetic number, because the mean of its divisors is an integer number (242550).

Almost surely, 25208736 is an apocalyptic number.

5208736 is the 1318-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5208736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5821200).

5208736 is an abundant number, since it is smaller than the sum of its proper divisors (6433664).

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

5208736 is a wasteful number, since it uses less digits than its factorization.

5208736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 5208736 is about 2282.2655410797. The cubic root of 5208736 is about 173.3447855681.

The spelling of 5208736 in words is "five million, two hundred eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 494 608 659 988 1318 1976 2636 3952 5272 7904 8567 10544 12521 17134 21088 25042 34268 50084 68536 100168 137072 162773 200336 274144 325546 400672 651092 1302184 2604368 5208736