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46444428 = 2234294943
BaseRepresentation
bin1011000100101…
…0111110001100
310020101121210000
42301022332030
543342210203
64335244300
71102525332
oct261127614
9106347700
1046444428
1124242428
1213679690
139811c14
14624db52
1541264a3
hex2c4af8c

46444428 has 60 divisors (see below), whose sum is σ = 125627040. Its totient is φ = 14944608.

The previous prime is 46444423. The next prime is 46444439. The reversal of 46444428 is 82444464.

46444428 is a `hidden beast` number, since 4 + 644 + 4 + 4 + 2 + 8 = 666.

46444428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 46444392 and 46444401.

It is not an unprimeable number, because it can be changed into a prime (46444421) 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 19 ways as a sum of consecutive naturals, for example, 6925 + ... + 11867.

It is an arithmetic number, because the mean of its divisors is an integer number (2093784).

Almost surely, 246444428 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 46444428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62813520).

46444428 is an abundant number, since it is smaller than the sum of its proper divisors (79182612).

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

46444428 is a wasteful number, since it uses less digits than its factorization.

46444428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4988 (or 4977 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The square root of 46444428 is about 6815.0148936007. The cubic root of 46444428 is about 359.4550087066.

Adding to 46444428 its sum of digits (36), we get a palindrome (46444464).

The spelling of 46444428 in words is "forty-six million, four hundred forty-four thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 4943 9396 9886 14829 19772 29658 44487 59316 88974 133461 143347 177948 266922 286694 400383 430041 533844 573388 800766 860082 1290123 1601532 1720164 2580246 3870369 5160492 7740738 11611107 15481476 23222214 46444428