Search a number
-
+
4957080 = 2335101409
BaseRepresentation
bin10010111010001110011000
3100022211211120
4102322032120
52232111310
6254125240
760064062
oct22721630
910284746
104957080
112886367
1217b0820
1310473ab
14930732
1567db70
hex4ba398

4957080 has 64 divisors (see below), whose sum is σ = 15055200. Its totient is φ = 1305600.

The previous prime is 4957063. The next prime is 4957087. The reversal of 4957080 is 807594.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4957087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11916 + ... + 12324.

Almost surely, 24957080 is an apocalyptic number.

4957080 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 4957080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7527600).

4957080 is an abundant number, since it is smaller than the sum of its proper divisors (10098120).

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

4957080 is a wasteful number, since it uses less digits than its factorization.

4957080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 4957080 is about 2226.4500892677. The cubic root of 4957080 is about 170.5069068389.

The spelling of 4957080 in words is "four million, nine hundred fifty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 409 505 606 808 818 1010 1212 1227 1515 1636 2020 2045 2424 2454 3030 3272 4040 4090 4908 6060 6135 8180 9816 12120 12270 16360 24540 41309 49080 82618 123927 165236 206545 247854 330472 413090 495708 619635 826180 991416 1239270 1652360 2478540 4957080