Search a number
-
+
4905288 = 2332193353
BaseRepresentation
bin10010101101100101001000
3100020012210100
4102231211020
52223432123
6253045400
756460063
oct22554510
910205710
104905288
112850463
121786860
13102994b
149198da
1566d643
hex4ad948

4905288 has 48 divisors (see below), whose sum is σ = 13391820. Its totient is φ = 1622016.

The previous prime is 4905283. The next prime is 4905289. The reversal of 4905288 is 8825094.

It can be written as a sum of positive squares in 2 ways, for example, as 4743684 + 161604 = 2178^2 + 402^2 .

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 not an unprimeable number, because it can be changed into a prime (4905283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13720 + ... + 14072.

Almost surely, 24905288 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 4905288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6695910).

4905288 is an abundant number, since it is smaller than the sum of its proper divisors (8486532).

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

4905288 is a wasteful number, since it uses less digits than its factorization.

4905288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4905288 is about 2214.7884774849. The cubic root of 4905288 is about 169.9110030135.

It can be divided in two parts, 490 and 5288, that added together give a triangular number (5778 = T107).

The spelling of 4905288 in words is "four million, nine hundred five thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 193 353 386 579 706 772 1059 1158 1412 1544 1737 2118 2316 2824 3177 3474 4236 4632 6354 6948 8472 12708 13896 25416 68129 136258 204387 272516 408774 545032 613161 817548 1226322 1635096 2452644 4905288