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5666328 = 233337709
BaseRepresentation
bin10101100111011000011000
3101122212202000
4111213120120
52422310303
6321241000
766106623
oct25473030
911585660
105666328
113220218
121a93160
131235175
14a76dba
1576dda3
hex567618

5666328 has 64 divisors (see below), whose sum is σ = 16188000. Its totient is φ = 1835136.

The previous prime is 5666317. The next prime is 5666341. The reversal of 5666328 is 8236665.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5666292 and 5666301.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7638 + ... + 8346.

Almost surely, 25666328 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 5666328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8094000).

5666328 is an abundant number, since it is smaller than the sum of its proper divisors (10521672).

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

5666328 is a wasteful number, since it uses less digits than its factorization.

5666328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 751 counting only the distinct ones).

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

The square root of 5666328 is about 2380.4050075565. The cubic root of 5666328 is about 178.2791562994.

The spelling of 5666328 in words is "five million, six hundred sixty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 709 888 999 1332 1418 1998 2127 2664 2836 3996 4254 5672 6381 7992 8508 12762 17016 19143 25524 26233 38286 51048 52466 76572 78699 104932 153144 157398 209864 236097 314796 472194 629592 708291 944388 1416582 1888776 2833164 5666328