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4472077940 = 2251124184347
BaseRepresentation
bin1000010101000111…
…00111111001110100
3102112200000002122022
410022203213321310
533124322443230
62015432052312
7215552015051
oct41243477164
912480002568
104472077940
11199540a390
12a49834098
1356367b585
14305d1c028
151b29251e5
hex10a8e7e74

4472077940 has 48 divisors (see below), whose sum is σ = 10287756864. Its totient is φ = 1619443200.

The previous prime is 4472077913. The next prime is 4472078027. The reversal of 4472077940 is 497702744.

It is a happy number.

It is a super-2 number, since 2×44720779402 = 39998962202869287200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4472077891 and 4472077900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10847 + ... + 95193.

It is an arithmetic number, because the mean of its divisors is an integer number (214328268).

Almost surely, 24472077940 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 4472077940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5143878432).

4472077940 is an abundant number, since it is smaller than the sum of its proper divisors (5815678924).

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

4472077940 is a wasteful number, since it uses less digits than its factorization.

4472077940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84608 (or 84606 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 44.

The square root of 4472077940 is about 66873.5967329409. The cubic root of 4472077940 is about 1647.5418481084.

The spelling of 4472077940 in words is "four billion, four hundred seventy-two million, seventy-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 241 482 964 1205 2410 2651 4820 5302 10604 13255 26510 53020 84347 168694 337388 421735 843470 927817 1686940 1855634 3711268 4639085 9278170 18556340 20327627 40655254 81310508 101638135 203276270 223603897 406552540 447207794 894415588 1118019485 2236038970 4472077940