Search a number
-
+
4622080 = 28523157
BaseRepresentation
bin10001101000011100000000
322200211022011
4101220130000
52140401310
6243022304
754200311
oct21503400
98624264
104622080
112677701
12166a994
13c5aa78
14884608
1561478a
hex468700

4622080 has 72 divisors (see below), whose sum is σ = 11626272. Its totient is φ = 1757184.

The previous prime is 4622047. The next prime is 4622081. The reversal of 4622080 is 802264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4622081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29362 + ... + 29518.

It is an arithmetic number, because the mean of its divisors is an integer number (161476).

Almost surely, 24622080 is an apocalyptic number.

4622080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4622080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5813136).

4622080 is an abundant number, since it is smaller than the sum of its proper divisors (7004192).

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

4622080 is a wasteful number, since it uses less digits than its factorization.

4622080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 4622080 is about 2149.9023233626. The cubic root of 4622080 is about 166.5760218211.

The spelling of 4622080 in words is "four million, six hundred twenty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 157 160 184 230 256 314 320 368 460 628 640 736 785 920 1256 1280 1472 1570 1840 2512 2944 3140 3611 3680 5024 5888 6280 7222 7360 10048 12560 14444 14720 18055 20096 25120 28888 29440 36110 40192 50240 57776 72220 100480 115552 144440 200960 231104 288880 462208 577760 924416 1155520 2311040 4622080