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4442013024 = 253112341203
BaseRepresentation
bin1000010001100001…
…11011110101100000
3102110120102122022220
410020300323311200
533044123404044
62012435431040
7215035326201
oct41060736540
912416378286
104442013024
11197a445149
12a3b755480
1355a382b97
14301d335a8
151aee87019
hex108c3bd60

4442013024 has 48 divisors (see below), whose sum is σ = 11670950592. Its totient is φ = 1479316608.

The previous prime is 4442012987. The next prime is 4442013031. The reversal of 4442013024 is 4203102444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 4442012985 and 4442013003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87207 + ... + 128409.

It is an arithmetic number, because the mean of its divisors is an integer number (243144804).

Almost surely, 24442013024 is an apocalyptic number.

It is an amenable number.

4442013024 is an abundant number, since it is smaller than the sum of its proper divisors (7228937568).

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

4442013024 is a wasteful number, since it uses less digits than its factorization.

4442013024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42339 (or 42331 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4442013024 is about 66648.4285186080. The cubic root of 4442013024 is about 1643.8415082733.

Adding to 4442013024 its reverse (4203102444), we get a palindrome (8645115468).

The spelling of 4442013024 in words is "four billion, four hundred forty-two million, thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1123 2246 3369 4492 6738 8984 13476 17968 26952 35936 41203 53904 82406 107808 123609 164812 247218 329624 494436 659248 988872 1318496 1977744 3955488 46270969 92541938 138812907 185083876 277625814 370167752 555251628 740335504 1110503256 1480671008 2221006512 4442013024