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5437696 = 28111931
BaseRepresentation
bin10100101111100100000000
3101020021010011
4110233210000
52343001241
6312314304
764135225
oct24574400
911207104
105437696
113084470
1219a2994
131185094
14a1794c
15726281
hex52f900

5437696 has 36 divisors (see below), whose sum is σ = 11847024. Its totient is φ = 2470400.

The previous prime is 5437643. The next prime is 5437699. The reversal of 5437696 is 6967345.

5437696 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 57 + 47 + 3 + 73 + 67 + 97 + 67 .

Its product of digits (136080) is a multiple of the sum of its prime divisors (1944).

It is not an unprimeable number, because it can be changed into a prime (5437699) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1851 + ... + 3781.

It is an arithmetic number, because the mean of its divisors is an integer number (329084).

Almost surely, 25437696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5437696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5923512).

5437696 is an abundant number, since it is smaller than the sum of its proper divisors (6409328).

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

5437696 is a wasteful number, since it uses less digits than its factorization.

5437696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1944 counting only the distinct ones).

The product of its digits is 136080, while the sum is 40.

The square root of 5437696 is about 2331.8867897049. The cubic root of 5437696 is about 175.8483542244.

The spelling of 5437696 in words is "five million, four hundred thirty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 1931 2816 3862 7724 15448 21241 30896 42482 61792 84964 123584 169928 247168 339856 494336 679712 1359424 2718848 5437696