Search a number
-
+
4905880 = 235722503
BaseRepresentation
bin10010101101101110011000
3100020020121021
4102231232120
52223442010
6253052224
756461600
oct22555630
910206537
104905880
112850951
121787074
131029cb5
14919c00
1566d8da
hex4adb98

4905880 has 48 divisors (see below), whose sum is σ = 12845520. Its totient is φ = 1681344.

The previous prime is 4905869. The next prime is 4905899. The reversal of 4905880 is 885094.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 709 + ... + 3211.

It is an arithmetic number, because the mean of its divisors is an integer number (267615).

Almost surely, 24905880 is an apocalyptic number.

4905880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4905880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6422760).

4905880 is an abundant number, since it is smaller than the sum of its proper divisors (7939640).

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

4905880 is a wasteful number, since it uses less digits than its factorization.

4905880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 4905880 is about 2214.9221205270. The cubic root of 4905880 is about 169.9178380364.

It can be divided in two parts, 490 and 5880, that multiplied together give a triangular number (2881200 = T2400).

The spelling of 4905880 in words is "four million, nine hundred five thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 2503 5006 10012 12515 17521 20024 25030 35042 50060 70084 87605 100120 122647 140168 175210 245294 350420 490588 613235 700840 981176 1226470 2452940 4905880