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4860823842 = 2327971372903
BaseRepresentation
bin1001000011011101…
…00100100100100010
3110112202111102202200
410201232210210202
534423332330332
62122200154030
7231312215040
oct44156444442
913482442680
104860823842
112074898996
12b37a68916
135c607c534
143417d3390
151d6b1417c
hex121ba4922

4860823842 has 96 divisors (see below), whose sum is σ = 12253393152. Its totient is φ = 1363986432.

The previous prime is 4860823823. The next prime is 4860823843. The reversal of 4860823842 is 2483280684.

4860823842 is a `hidden beast` number, since 4 + 8 + 608 + 2 + 38 + 4 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (4860823843) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1672963 + ... + 1675865.

It is an arithmetic number, because the mean of its divisors is an integer number (127639512).

Almost surely, 24860823842 is an apocalyptic number.

4860823842 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4860823842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6126696576).

4860823842 is an abundant number, since it is smaller than the sum of its proper divisors (7392569310).

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

4860823842 is a wasteful number, since it uses less digits than its factorization.

4860823842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 4860823842 is about 69719.6087338419. The cubic root of 4860823842 is about 1693.9605583071.

The spelling of 4860823842 in words is "four billion, eight hundred sixty million, eight hundred twenty-three thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 97 126 137 194 274 291 411 582 679 822 873 959 1233 1358 1746 1918 2037 2466 2877 2903 4074 5754 5806 6111 8631 8709 12222 13289 17262 17418 20321 26127 26578 39867 40642 52254 60963 79734 93023 119601 121926 182889 186046 239202 279069 281591 365778 397711 558138 563182 795422 837207 844773 1193133 1674414 1689546 1971137 2386266 2534319 2783977 3579399 3942274 5068638 5567954 5913411 7158798 8351931 11826822 16703862 17740233 25055793 35480466 38577967 50111586 77155934 115733901 231467802 270045769 347201703 540091538 694403406 810137307 1620274614 2430411921 4860823842