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4958406260 = 2253760111149
BaseRepresentation
bin1001001111000101…
…10100011001110100
3110210120010010200022
410213202310121310
540123323000020
62140003504312
7233605520633
oct44742643164
913716103608
104958406260
112114989015
12b64688098
13610357802
1435075551a
151e048c625
hex1278b4674

4958406260 has 48 divisors (see below), whose sum is σ = 10712830800. Its totient is φ = 1926374400.

The previous prime is 4958406247. The next prime is 4958406281. The reversal of 4958406260 is 626048594.

It can be written as a sum of positive squares in 8 ways, for example, as 287777296 + 4670628964 = 16964^2 + 68342^2 .

It is a congruent number.

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, 439166 + ... + 450314.

It is an arithmetic number, because the mean of its divisors is an integer number (223183975).

Almost surely, 24958406260 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 4958406260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356415400).

4958406260 is an abundant number, since it is smaller than the sum of its proper divisors (5754424540).

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

4958406260 is a wasteful number, since it uses less digits than its factorization.

4958406260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11796 (or 11794 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The square root of 4958406260 is about 70415.9517439053. The cubic root of 4958406260 is about 1705.2211177981.

The spelling of 4958406260 in words is "four billion, nine hundred fifty-eight million, four hundred six thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 601 740 1202 2404 3005 6010 11149 12020 22237 22298 44474 44596 55745 88948 111185 111490 222370 222980 412513 444740 825026 1650052 2062565 4125130 6700549 8250260 13401098 26802196 33502745 67005490 134010980 247920313 495840626 991681252 1239601565 2479203130 4958406260