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444126132 = 22335777127
BaseRepresentation
bin11010011110001…
…101001110110100
31010221200221112000
4122132031032310
51402144014012
6112023055300
714002003242
oct3236151664
91127627460
10444126132
1120877459a
121048a1530
1371021238
1442dad792
1528eccddc
hex1a78d3b4

444126132 has 48 divisors (see below), whose sum is σ = 1153595520. Its totient is φ = 147764736.

The previous prime is 444126103. The next prime is 444126143. The reversal of 444126132 is 231621444.

It is a happy number.

444126132 is a `hidden beast` number, since 4 + 4 + 41 + 2 + 613 + 2 = 666.

It is a super-2 number, since 2×4441261322 = 394496042250562848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 444126096 and 444126105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58753 + ... + 65879.

It is an arithmetic number, because the mean of its divisors is an integer number (24033240).

Almost surely, 2444126132 is an apocalyptic number.

It is an amenable number.

444126132 is an abundant number, since it is smaller than the sum of its proper divisors (709469388).

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

444126132 is a wasteful number, since it uses less digits than its factorization.

444126132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7717 (or 7709 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 444126132 is about 21074.3002730814. The cubic root of 444126132 is about 762.9605964626.

Adding to 444126132 its reverse (231621444), we get a palindrome (675747576).

The spelling of 444126132 in words is "four hundred forty-four million, one hundred twenty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 577 1154 1731 2308 3462 5193 6924 7127 10386 14254 15579 20772 21381 28508 31158 42762 62316 64143 85524 128286 192429 256572 384858 769716 4112279 8224558 12336837 16449116 24673674 37010511 49347348 74021022 111031533 148042044 222063066 444126132