Search a number
-
+
5464624 = 241161509
BaseRepresentation
bin10100110110001000110000
3101021122001111
4110312020300
52344331444
6313043104
764306564
oct24661060
911248044
105464624
1130a2720
1219b6494
131194409
14a236a4
1572e234
hex536230

5464624 has 40 divisors (see below), whose sum is σ = 11762640. Its totient is φ = 2438400.

The previous prime is 5464621. The next prime is 5464631. The reversal of 5464624 is 4264645.

It is a super-2 number, since 2×54646242 = 59724230922752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5464621) 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, 10482 + ... + 10990.

It is an arithmetic number, because the mean of its divisors is an integer number (294066).

Almost surely, 25464624 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 5464624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5881320).

5464624 is an abundant number, since it is smaller than the sum of its proper divisors (6298016).

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

5464624 is a wasteful number, since it uses less digits than its factorization.

5464624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 583 counting only the distinct ones).

The product of its digits is 23040, while the sum is 31.

The square root of 5464624 is about 2337.6535243701. The cubic root of 5464624 is about 176.1381491089.

The spelling of 5464624 in words is "five million, four hundred sixty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 61 88 122 176 244 488 509 671 976 1018 1342 2036 2684 4072 5368 5599 8144 10736 11198 22396 31049 44792 62098 89584 124196 248392 341539 496784 683078 1366156 2732312 5464624