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4787874 = 2327133779
BaseRepresentation
bin10010010000111010100010
3100000020201200
4102100322202
52211202444
6250342030
755460550
oct22207242
910006650
104787874
112780223
12172a916
13cb8380
148c8bd0
15648969
hex490ea2

4787874 has 96 divisors (see below), whose sum is σ = 13278720. Its totient is φ = 1213056.

The previous prime is 4787873. The next prime is 4787879.

4787874 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4787873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60567 + ... + 60645.

It is an arithmetic number, because the mean of its divisors is an integer number (138320).

Almost surely, 24787874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4787874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6639360).

4787874 is an abundant number, since it is smaller than the sum of its proper divisors (8490846).

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

4787874 is a wasteful number, since it uses less digits than its factorization.

4787874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 141 counting only the distinct ones).

The product of its digits is 351232, while the sum is 45.

The square root of 4787874 is about 2188.1211118217. The cubic root of 4787874 is about 168.5443651578.

The spelling of 4787874 in words is "four million, seven hundred eighty-seven thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 37 39 42 63 74 78 79 91 111 117 126 158 182 222 234 237 259 273 333 474 481 518 546 553 666 711 777 819 962 1027 1106 1422 1443 1554 1638 1659 2054 2331 2886 2923 3081 3318 3367 4329 4662 4977 5846 6162 6734 7189 8658 8769 9243 9954 10101 14378 17538 18486 20202 20461 21567 26307 30303 37999 40922 43134 52614 60606 61383 64701 75998 113997 122766 129402 184149 227994 265993 341991 368298 531986 683982 797979 1595958 2393937 4787874