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4928364 = 223474153
BaseRepresentation
bin10010110011001101101100
3100021101110000
4102303031230
52230201424
6253344300
756614260
oct22631554
910241400
104928364
112866831
121798090
1310372bc
149240a0
156753c9
hex4b336c

4928364 has 120 divisors (see below), whose sum is σ = 15367968. Its totient is φ = 1347840.

The previous prime is 4928321. The next prime is 4928369. The reversal of 4928364 is 4638294.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a d-powerful number, because it can be written as 44 + 97 + 217 + 8 + 37 + 65 + 46 .

It is not an unprimeable number, because it can be changed into a prime (4928369) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92962 + ... + 93014.

Almost surely, 24928364 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 4928364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7683984).

4928364 is an abundant number, since it is smaller than the sum of its proper divisors (10439604).

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

4928364 is a wasteful number, since it uses less digits than its factorization.

4928364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 106 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 4928364 is about 2219.9918918771. The cubic root of 4928364 is about 170.1770243629.

Adding to 4928364 its sum of digits (36), we get a square (4928400 = 22202).

The spelling of 4928364 in words is "four million, nine hundred twenty-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 53 54 63 81 82 84 106 108 123 126 159 162 164 189 212 246 252 287 318 324 369 371 378 477 492 567 574 636 738 742 756 861 954 1107 1113 1134 1148 1431 1476 1484 1722 1908 2173 2214 2226 2268 2583 2862 3321 3339 3444 4293 4346 4428 4452 5166 5724 6519 6642 6678 7749 8586 8692 10017 10332 13038 13284 13356 15211 15498 17172 19557 20034 23247 26076 30051 30422 30996 39114 40068 45633 46494 58671 60102 60844 78228 91266 92988 117342 120204 136899 176013 182532 234684 273798 352026 410697 547596 704052 821394 1232091 1642788 2464182 4928364