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4874460816 = 2431093172939
BaseRepresentation
bin1001000101000101…
…00101111010010000
3110120201011021011210
410202202211322100
534440330221231
62123404340120
7231536143011
oct44242457220
913521137153
104874460816
112081562615
12b40544640
135c8b45654
14343543008
151d7e09a46
hex1228a5e90

4874460816 has 80 divisors (see below), whose sum is σ = 12752308800. Its totient is φ = 1604289024.

The previous prime is 4874460809. The next prime is 4874460841. The reversal of 4874460816 is 6180644784.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1657075 + ... + 1660013.

It is an arithmetic number, because the mean of its divisors is an integer number (159403860).

Almost surely, 24874460816 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 4874460816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6376154400).

4874460816 is an abundant number, since it is smaller than the sum of its proper divisors (7877847984).

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

4874460816 is a wasteful number, since it uses less digits than its factorization.

4874460816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 4874460816 is about 69817.3389352530. The cubic root of 4874460816 is about 1695.5432068279.

The spelling of 4874460816 in words is "four billion, eight hundred seventy-four million, four hundred sixty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 317 327 436 634 654 872 951 1268 1308 1744 1902 2536 2616 2939 3804 5072 5232 5878 7608 8817 11756 15216 17634 23512 34553 35268 47024 69106 70536 103659 138212 141072 207318 276424 320351 414636 552848 640702 829272 931663 961053 1281404 1658544 1863326 1922106 2562808 2794989 3726652 3844212 5125616 5589978 7453304 7688424 11179956 14906608 15376848 22359912 44719824 101551267 203102534 304653801 406205068 609307602 812410136 1218615204 1624820272 2437230408 4874460816