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44001020 = 2257259761
BaseRepresentation
bin1010011111011…
…0011011111100
310001210111001102
42213312123330
542231013040
64211032232
71043000600
oct247663374
9101714042
1044001020
1122923688
121289b678
139167a0b
145bb5500
153ce2515
hex29f66fc

44001020 has 72 divisors (see below), whose sum is σ = 109453680. Its totient is φ = 14810880.

The previous prime is 44001019. The next prime is 44001031. The reversal of 44001020 is 2010044.

44001020 = T392 + T393 + ... + T686.

It is a super-2 number, since 2×440010202 = 3872179522080800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44000992 and 44001010.

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 23 ways as a sum of consecutive naturals, for example, 57440 + ... + 58200.

It is an arithmetic number, because the mean of its divisors is an integer number (1520190).

Almost surely, 244001020 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 44001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54726840).

44001020 is an abundant number, since it is smaller than the sum of its proper divisors (65452660).

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

44001020 is a wasteful number, since it uses less digits than its factorization.

44001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 44001020 is about 6633.3264656581. The cubic root of 44001020 is about 353.0375615080.

Adding to 44001020 its reverse (2010044), we get a palindrome (46011064).

The spelling of 44001020 in words is "forty-four million, one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 59 70 98 118 140 196 236 245 295 413 490 590 761 826 980 1180 1522 1652 2065 2891 3044 3805 4130 5327 5782 7610 8260 10654 11564 14455 15220 21308 26635 28910 37289 44899 53270 57820 74578 89798 106540 149156 179596 186445 224495 314293 372890 448990 628586 745780 897980 1257172 1571465 2200051 3142930 4400102 6285860 8800204 11000255 22000510 44001020