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5906628 = 2233713601
BaseRepresentation
bin10110100010000011000100
3102010002101000
4112202003010
53003003003
6330333300
7101130330
oct26420304
912102330
105906628
113374812
121b8a230
1312ba660
14ada7c0
157ba1a3
hex5a20c4

5906628 has 96 divisors (see below), whose sum is σ = 18878720. Its totient is φ = 1555200.

The previous prime is 5906611. The next prime is 5906629. The reversal of 5906628 is 8266095.

5906628 is a `hidden beast` number, since 590 + 6 + 62 + 8 = 666.

5906628 is nontrivially palindromic in base 5.

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

It is a junction number, because it is equal to n+sod(n) for n = 5906592 and 5906601.

It is not an unprimeable number, because it can be changed into a prime (5906629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9528 + ... + 10128.

Almost surely, 25906628 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 5906628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9439360).

5906628 is an abundant number, since it is smaller than the sum of its proper divisors (12972092).

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

5906628 is a wasteful number, since it uses less digits than its factorization.

5906628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5906628 is about 2430.3555295471. The cubic root of 5906628 is about 180.7645259585.

The spelling of 5906628 in words is "five million, nine hundred six thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 601 702 756 819 1092 1202 1404 1638 1803 2404 2457 3276 3606 4207 4914 5409 7212 7813 8414 9828 10818 12621 15626 16227 16828 21636 23439 25242 31252 32454 37863 46878 50484 54691 64908 70317 75726 93756 109382 113589 140634 151452 164073 210951 218764 227178 281268 328146 421902 454356 492219 656292 843804 984438 1476657 1968876 2953314 5906628