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4055224644 = 22321910515641
BaseRepresentation
bin1111000110110101…
…1101000101000100
3101110121121202102100
43301231131011010
531301114142034
61510221312100
7202330561242
oct36155350504
911417552370
104055224644
1117a1083329
12952105630
134c81b8c13
142a680b792
1518b033099
hexf1b5d144

4055224644 has 72 divisors (see below), whose sum is σ = 10802398880. Its totient is φ = 1279152000.

The previous prime is 4055224643. The next prime is 4055224697. The reversal of 4055224644 is 4464225504.

4055224644 is a `hidden beast` number, since 4 + 0 + 5 + 5 + 2 + 2 + 4 + 644 = 666.

4055224644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4055224599 and 4055224608.

It is not an unprimeable number, because it can be changed into a prime (4055224643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 716064 + ... + 721704.

Almost surely, 24055224644 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 4055224644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5401199440).

4055224644 is an abundant number, since it is smaller than the sum of its proper divisors (6747174236).

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

4055224644 is a wasteful number, since it uses less digits than its factorization.

4055224644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6721 (or 6716 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The square root of 4055224644 is about 63680.6457567761. The cubic root of 4055224644 is about 1594.6729929092.

The spelling of 4055224644 in words is "four billion, fifty-five million, two hundred twenty-four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1051 2102 3153 4204 5641 6306 9459 11282 12612 16923 18918 19969 22564 33846 37836 39938 50769 59907 67692 79876 101538 107179 119814 179721 203076 214358 239628 321537 359442 428716 643074 718884 964611 1286148 1929222 3858444 5928691 11857382 17786073 23714764 35572146 53358219 71144292 106716438 112645129 213432876 225290258 337935387 450580516 675870774 1013806161 1351741548 2027612322 4055224644