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5624496 = 2432139281
BaseRepresentation
bin10101011101001010110000
3101120202100200
4111131022300
52414440441
6320315200
765543643
oct25351260
911522320
105624496
1131a1849
121a72b00
13121c107
14a65a5a
157617b6
hex55d2b0

5624496 has 60 divisors (see below), whose sum is σ = 15910440. Its totient is φ = 1854720.

The previous prime is 5624483. The next prime is 5624527. The reversal of 5624496 is 6944265.

5624496 is a `hidden beast` number, since 562 + 4 + 4 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 55 + 67 + 2 + 47 + 49 + 97 + 67 .

It is a self number, because there is not a number n which added to its sum of digits gives 5624496.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 19876 + ... + 20156.

It is an arithmetic number, because the mean of its divisors is an integer number (265174).

Almost surely, 25624496 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 5624496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7955220).

5624496 is an abundant number, since it is smaller than the sum of its proper divisors (10285944).

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

5624496 is a wasteful number, since it uses less digits than its factorization.

5624496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 425 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 5624496 is about 2371.6019902167. The cubic root of 5624496 is about 177.8393534385.

The spelling of 5624496 in words is "five million, six hundred twenty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 281 417 556 562 834 843 1112 1124 1251 1668 1686 2224 2248 2502 2529 3336 3372 4496 5004 5058 6672 6744 10008 10116 13488 20016 20232 39059 40464 78118 117177 156236 234354 312472 351531 468708 624944 703062 937416 1406124 1874832 2812248 5624496