Search a number
-
+
4442042040 = 233549317507
BaseRepresentation
bin1000010001100010…
…00010111010111000
3102110120111010010120
410020301002322320
533044130321130
62012440213240
7215035506612
oct41061027270
912416433116
104442042040
11197a464a27
12a3b76a220
1355a393157
14301d3ddb2
151aee90910
hex108c42eb8

4442042040 has 64 divisors (see below), whose sum is σ = 13330604160. Its totient is φ = 1184146560.

The previous prime is 4442041951. The next prime is 4442042063. The reversal of 4442042040 is 402402444.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4442042040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 587967 + ... + 595473.

It is an arithmetic number, because the mean of its divisors is an integer number (208290690).

Almost surely, 24442042040 is an apocalyptic number.

4442042040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4442042040 is an abundant number, since it is smaller than the sum of its proper divisors (8888562120).

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

4442042040 is a wasteful number, since it uses less digits than its factorization.

4442042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12452 (or 12448 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4442042040 is about 66648.6461978036. The cubic root of 4442042040 is about 1643.8450875516.

Adding to 4442042040 its reverse (402402444), we get a palindrome (4844444484).

The spelling of 4442042040 in words is "four billion, four hundred forty-two million, forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 4931 7507 9862 14793 15014 19724 22521 24655 29586 30028 37535 39448 45042 49310 59172 60056 73965 75070 90084 98620 112605 118344 147930 150140 180168 197240 225210 295860 300280 450420 591720 900840 37017017 74034034 111051051 148068068 185085085 222102102 296136136 370170170 444204204 555255255 740340340 888408408 1110510510 1480680680 2221021020 4442042040