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4862443104 = 253222973727
BaseRepresentation
bin1001000011101001…
…01111111001100000
3110112212112200222100
410201310233321200
534424241134404
62122255010400
7231332040651
oct44164577140
913485480870
104862443104
1120757a4522
12b38509a00
135c64c858c
14341ad5528
151d6d33d39
hex121d2fe60

4862443104 has 72 divisors (see below), whose sum is σ = 13888143360. Its totient is φ = 1613714688.

The previous prime is 4862443067. The next prime is 4862443109. The reversal of 4862443104 is 4013442684.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4862443109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29089 + ... + 102815.

It is an arithmetic number, because the mean of its divisors is an integer number (192890880).

Almost surely, 24862443104 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 4862443104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6944071680).

4862443104 is an abundant number, since it is smaller than the sum of its proper divisors (9025700256).

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

4862443104 is a wasteful number, since it uses less digits than its factorization.

4862443104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73972 (or 73961 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4862443104 is about 69731.2204396280. The cubic root of 4862443104 is about 1694.1486376343.

Adding to 4862443104 its reverse (4013442684), we get a palindrome (8875885788).

The spelling of 4862443104 in words is "four billion, eight hundred sixty-two million, four hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 229 288 458 687 916 1374 1832 2061 2748 3664 4122 5496 7328 8244 10992 16488 21984 32976 65952 73727 147454 221181 294908 442362 589816 663543 884724 1179632 1327086 1769448 2359264 2654172 3538896 5308344 7077792 10616688 16883483 21233376 33766966 50650449 67533932 101300898 135067864 151951347 202601796 270135728 303902694 405203592 540271456 607805388 810407184 1215610776 1620814368 2431221552 4862443104