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5626608 = 2431371127
BaseRepresentation
bin10101011101101011110000
3101120212020220
4111131223300
52420022413
6320333040
765553051
oct25355360
911525226
105626608
1131a3399
121a74180
131220070
14a66728
15762223
hex55daf0

5626608 has 80 divisors (see below), whose sum is σ = 15998976. Its totient is φ = 1693440.

The previous prime is 5626601. The next prime is 5626619. The reversal of 5626608 is 8066265.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5626601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44241 + ... + 44367.

Almost surely, 25626608 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 5626608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7999488).

5626608 is an abundant number, since it is smaller than the sum of its proper divisors (10372368).

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

5626608 is a wasteful number, since it uses less digits than its factorization.

5626608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 5626608 is about 2372.0472170680. The cubic root of 5626608 is about 177.8616102305.

The spelling of 5626608 in words is "five million, six hundred twenty-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 71 78 104 127 142 156 208 213 254 284 312 381 426 508 568 624 762 852 923 1016 1136 1524 1651 1704 1846 2032 2769 3048 3302 3408 3692 4953 5538 6096 6604 7384 9017 9906 11076 13208 14768 18034 19812 22152 26416 27051 36068 39624 44304 54102 72136 79248 108204 117221 144272 216408 234442 351663 432816 468884 703326 937768 1406652 1875536 2813304 5626608