Search a number
-
+
4926420 = 223453041
BaseRepresentation
bin10010110010101111010100
3100021021210000
4102302233110
52230121140
6253331300
756605512
oct22625724
910237700
104926420
112865324
121796b30
131036455
149234b2
15674a30
hex4b2bd4

4926420 has 60 divisors (see below), whose sum is σ = 15459444. Its totient is φ = 1313280.

The previous prime is 4926419. The next prime is 4926451. The reversal of 4926420 is 246294.

4926420 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3640464 + 1285956 = 1908^2 + 1134^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×49264202 = 48539228032800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 100 + ... + 3140.

Almost surely, 24926420 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 4926420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7729722).

4926420 is an abundant number, since it is smaller than the sum of its proper divisors (10533024).

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

4926420 is a wasteful number, since it uses less digits than its factorization.

4926420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3062 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4926420 is about 2219.5540092550. The cubic root of 4926420 is about 170.1546458993.

It can be divided in two parts, 49264 and 20, that added together give a square (49284 = 2222).

The spelling of 4926420 in words is "four million, nine hundred twenty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 3041 6082 9123 12164 15205 18246 27369 30410 36492 45615 54738 60820 82107 91230 109476 136845 164214 182460 246321 273690 328428 410535 492642 547380 821070 985284 1231605 1642140 2463210 4926420