Search a number
-
+
5356428 = 22371121731
BaseRepresentation
bin10100011011101110001100
3101002010122020
4110123232030
52332401203
6310450140
763346260
oct24335614
911063566
105356428
113029400
121963950
1311570ac
149d60a0
1570c153
hex51bb8c

5356428 has 144 divisors (see below), whose sum is σ = 17160192. Its totient is φ = 1267200.

The previous prime is 5356427. The next prime is 5356451. The reversal of 5356428 is 8246535.

5356428 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (5356427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172773 + ... + 172803.

It is an arithmetic number, because the mean of its divisors is an integer number (119168).

Almost surely, 25356428 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 5356428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8580096).

5356428 is an abundant number, since it is smaller than the sum of its proper divisors (11803764).

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

5356428 is a wasteful number, since it uses less digits than its factorization.

5356428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 71 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 5356428 is about 2314.3958174867. The cubic root of 5356428 is about 174.9679179284.

The spelling of 5356428 in words is "five million, three hundred fifty-six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 31 33 34 42 44 51 62 66 68 77 84 93 102 119 121 124 132 154 186 187 204 217 231 238 242 308 341 357 363 372 374 434 462 476 484 527 561 651 682 714 726 748 847 868 924 1023 1054 1122 1302 1309 1364 1428 1452 1581 1694 2046 2057 2108 2244 2387 2541 2604 2618 3162 3388 3689 3751 3927 4092 4114 4774 5082 5236 5797 6171 6324 7161 7378 7502 7854 8228 9548 10164 11067 11253 11594 12342 14322 14399 14756 15004 15708 17391 22134 22506 23188 24684 26257 28644 28798 34782 40579 43197 44268 45012 52514 57596 63767 69564 78771 81158 86394 105028 121737 127534 157542 162316 172788 191301 243474 255068 315084 382602 446369 486948 765204 892738 1339107 1785476 2678214 5356428