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5204628 = 22331113337
BaseRepresentation
bin10011110110101010010100
3100210102102000
4103312222110
52313022003
6303315300
762144562
oct23665224
910712360
105204628
112a35350
1218abb30
131102c80
14996a32
156cc1a3
hex4f6a94

5204628 has 96 divisors (see below), whose sum is σ = 15899520. Its totient is φ = 1451520.

The previous prime is 5204611. The next prime is 5204629. The reversal of 5204628 is 8264025.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5204629) 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, 15276 + ... + 15612.

It is an arithmetic number, because the mean of its divisors is an integer number (165620).

Almost surely, 25204628 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 5204628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7949760).

5204628 is an abundant number, since it is smaller than the sum of its proper divisors (10694892).

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

5204628 is a wasteful number, since it uses less digits than its factorization.

5204628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5204628 is about 2281.3653806438. The cubic root of 5204628 is about 173.2992026816.

It can be divided in two parts, 5204 and 628, that added together give a cube (5832 = 183).

The spelling of 5204628 in words is "five million, two hundred four thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 132 143 156 198 234 286 297 337 351 396 429 468 572 594 674 702 858 1011 1188 1287 1348 1404 1716 2022 2574 3033 3707 3861 4044 4381 5148 6066 7414 7722 8762 9099 11121 12132 13143 14828 15444 17524 18198 22242 26286 33363 36396 39429 44484 48191 52572 66726 78858 96382 100089 118287 133452 144573 157716 192764 200178 236574 289146 400356 433719 473148 578292 867438 1301157 1734876 2602314 5204628