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4630440 = 233547821
BaseRepresentation
bin10001101010011110101000
322201020202210
4101222132220
52141133230
6243125120
754233553
oct21523650
98636683
104630440
112682a11
1216737a0
13c61809
1488769a
15616eb0
hex46a7a8

4630440 has 64 divisors (see below), whose sum is σ = 14204160. Its totient is φ = 1207040.

The previous prime is 4630421. The next prime is 4630447. The reversal of 4630440 is 440364.

It is not an unprimeable number, because it can be changed into a prime (4630447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5230 + ... + 6050.

It is an arithmetic number, because the mean of its divisors is an integer number (221940).

Almost surely, 24630440 is an apocalyptic number.

4630440 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 4630440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7102080).

4630440 is an abundant number, since it is smaller than the sum of its proper divisors (9573720).

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

4630440 is a wasteful number, since it uses less digits than its factorization.

4630440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4630440 is about 2151.8457193767. The cubic root of 4630440 is about 166.6763905438.

The spelling of 4630440 in words is "four million, six hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 821 940 1128 1410 1642 1880 2463 2820 3284 4105 4926 5640 6568 8210 9852 12315 16420 19704 24630 32840 38587 49260 77174 98520 115761 154348 192935 231522 308696 385870 463044 578805 771740 926088 1157610 1543480 2315220 4630440