Search a number
-
+
4291820 = 2251317971
BaseRepresentation
bin10000010111110011101100
322002001021022
4100113303230
52044314240
6231553312
751323411
oct20276354
98061238
104291820
112471565
12152b838
13b73650
147da108
1559b9b5
hex417cec

4291820 has 48 divisors (see below), whose sum is σ = 10287648. Its totient is φ = 1489920.

The previous prime is 4291813. The next prime is 4291829. The reversal of 4291820 is 281924.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 4291820.

It is not an unprimeable number, because it can be changed into a prime (4291829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3935 + ... + 4905.

It is an arithmetic number, because the mean of its divisors is an integer number (214326).

Almost surely, 24291820 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 4291820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5143824).

4291820 is an abundant number, since it is smaller than the sum of its proper divisors (5995828).

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

4291820 is a wasteful number, since it uses less digits than its factorization.

4291820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 4291820 is about 2071.6708232728. The cubic root of 4291820 is about 162.5101532118.

The spelling of 4291820 in words is "four million, two hundred ninety-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 971 1105 1942 2210 3884 4420 4855 9710 12623 16507 19420 25246 33014 50492 63115 66028 82535 126230 165070 214591 252460 330140 429182 858364 1072955 2145910 4291820