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4868240 = 2451331151
BaseRepresentation
bin10010100100100010010000
3100011022222012
4102210202100
52221240430
6252202052
756244056
oct22444220
910138865
104868240
112825643
121769328
131015b20
1490a1d6
15662695
hex4a4890

4868240 has 80 divisors (see below), whose sum is σ = 12665856. Its totient is φ = 1728000.

The previous prime is 4868233. The next prime is 4868243. The reversal of 4868240 is 428684.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4868197 and 4868206.

It is not an unprimeable number, because it can be changed into a prime (4868243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32165 + ... + 32315.

Almost surely, 24868240 is an apocalyptic number.

4868240 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 4868240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6332928).

4868240 is an abundant number, since it is smaller than the sum of its proper divisors (7797616).

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

4868240 is a wasteful number, since it uses less digits than its factorization.

4868240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 4868240 is about 2206.4088469728. The cubic root of 4868240 is about 169.4821612318.

It can be divided in two parts, 48 and 68240, that multiplied together give a triangular number (3275520 = T2559).

The spelling of 4868240 in words is "four million, eight hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 151 155 208 248 260 302 310 403 496 520 604 620 755 806 1040 1208 1240 1510 1612 1963 2015 2416 2480 3020 3224 3926 4030 4681 6040 6448 7852 8060 9362 9815 12080 15704 16120 18724 19630 23405 31408 32240 37448 39260 46810 60853 74896 78520 93620 121706 157040 187240 243412 304265 374480 486824 608530 973648 1217060 2434120 4868240