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4440672 = 253217907
BaseRepresentation
bin10000111100001001100000
322100121110100
4100330021200
52114100142
6235102400
752513365
oct20741140
98317410
104440672
112563385
1215a1a00
13bc6322
1483846c
155cab4c
hex43c260

4440672 has 72 divisors (see below), whose sum is σ = 13385736. Its totient is φ = 1391616.

The previous prime is 4440659. The next prime is 4440673. The reversal of 4440672 is 2760444.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×44406723 (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4440673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4443 + ... + 5349.

It is an arithmetic number, because the mean of its divisors is an integer number (185913).

Almost surely, 24440672 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 4440672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6692868).

4440672 is an abundant number, since it is smaller than the sum of its proper divisors (8945064).

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

4440672 is a wasteful number, since it uses less digits than its factorization.

4440672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4440672 is about 2107.2902030807. The cubic root of 4440672 is about 164.3676068807.

The spelling of 4440672 in words is "four million, four hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 907 1224 1632 1814 2448 2721 3628 4896 5442 7256 8163 10884 14512 15419 16326 21768 29024 30838 32652 43536 46257 61676 65304 87072 92514 123352 130608 138771 185028 246704 261216 277542 370056 493408 555084 740112 1110168 1480224 2220336 4440672