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4435445344 = 251153237749
BaseRepresentation
bin1000010000101111…
…11000011001100000
3102110010001222011111
410020113320121200
533040433222334
62012042553104
7214625443351
oct41027703140
912403058144
104435445344
111976769810
12a39508794
13558bc3695
14301103d28
151ae5db064
hex1085f8660

4435445344 has 48 divisors (see below), whose sum is σ = 9705906000. Its totient is φ = 1978063360.

The previous prime is 4435445309. The next prime is 4435445387.

4435445344 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44354453442 = 39346350799222556672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4435445297 and 4435445306.

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 7 ways as a sum of consecutive naturals, for example, 100219 + ... + 137530.

It is an arithmetic number, because the mean of its divisors is an integer number (202206375).

Almost surely, 24435445344 is an apocalyptic number.

4435445344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4435445344 is an abundant number, since it is smaller than the sum of its proper divisors (5270460656).

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

4435445344 is a wasteful number, since it uses less digits than its factorization.

4435445344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237823 (or 237815 counting only the distinct ones).

The product of its digits is 921600, while the sum is 40.

The square root of 4435445344 is about 66599.1392136565. The cubic root of 4435445344 is about 1643.0309485725.

It can be divided in two parts, 44354 and 45344, that added together give a palindrome (89698).

The spelling of 4435445344 in words is "four billion, four hundred thirty-five million, four hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 176 212 352 424 583 848 1166 1696 2332 4664 9328 18656 237749 475498 950996 1901992 2615239 3803984 5230478 7607968 10460956 12600697 20921912 25201394 41843824 50402788 83687648 100805576 138607667 201611152 277215334 403222304 554430668 1108861336 2217722672 4435445344