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4443004672 = 28171516761
BaseRepresentation
bin1000010001101001…
…01101111100000000
3102110122022000121121
410020310231330000
533044402122142
62012513002024
7215046626251
oct41064557400
912418260547
104443004672
11197aa62197
12a3bb53314
1355a63c362
14302110b28
151b00d0c67
hex108d2df00

4443004672 has 72 divisors (see below), whose sum is σ = 9453925152. Its totient is φ = 2076672000.

The previous prime is 4443004663. The next prime is 4443004673. The reversal of 4443004672 is 2764003444.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4443004673) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 653772 + ... + 660532.

It is an arithmetic number, because the mean of its divisors is an integer number (131304516).

Almost surely, 24443004672 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 4443004672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4726962576).

4443004672 is an abundant number, since it is smaller than the sum of its proper divisors (5010920480).

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

4443004672 is a wasteful number, since it uses less digits than its factorization.

4443004672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6945 (or 6931 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 34.

The square root of 4443004672 is about 66655.8674986681. The cubic root of 4443004672 is about 1643.9638245030.

The spelling of 4443004672 in words is "four billion, four hundred forty-three million, four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 151 256 272 302 544 604 1088 1208 2176 2416 2567 4352 4832 5134 6761 9664 10268 13522 19328 20536 27044 38656 41072 54088 82144 108176 114937 164288 216352 229874 328576 432704 459748 657152 865408 919496 1020911 1730816 1838992 2041822 3677984 4083644 7355968 8167288 14711936 16334576 17355487 29423872 32669152 34710974 65338304 69421948 130676608 138843896 261353216 277687792 555375584 1110751168 2221502336 4443004672