Search a number
-
+
4908680 = 235747373
BaseRepresentation
bin10010101110011010001000
3100020101102222
4102232122020
52224034210
6253113212
756503010
oct22563210
910211388
104908680
112852a67
121788808
13102b35a
1491ac40
1566e655
hex4ae688

4908680 has 64 divisors (see below), whose sum is σ = 12925440. Its totient is φ = 1642752.

The previous prime is 4908667. The next prime is 4908691. The reversal of 4908680 is 868094.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4908680.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12974 + ... + 13346.

It is an arithmetic number, because the mean of its divisors is an integer number (201960).

Almost surely, 24908680 is an apocalyptic number.

4908680 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 4908680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6462720).

4908680 is an abundant number, since it is smaller than the sum of its proper divisors (8016760).

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

4908680 is a wasteful number, since it uses less digits than its factorization.

4908680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 4908680 is about 2215.5541067643. The cubic root of 4908680 is about 169.9501583990.

The spelling of 4908680 in words is "four million, nine hundred eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 373 376 470 658 746 940 1316 1492 1645 1865 1880 2611 2632 2984 3290 3730 5222 6580 7460 10444 13055 13160 14920 17531 20888 26110 35062 52220 70124 87655 104440 122717 140248 175310 245434 350620 490868 613585 701240 981736 1227170 2454340 4908680