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44106040 = 23511591699
BaseRepresentation
bin1010100001000…
…0000100111000
310001222211010001
42220100010320
542242343130
64213202344
71043616016
oct250200470
9101884101
1044106040
1122995580
12129303b4
1391a3764
145c018b6
153d136ca
hex2a10138

44106040 has 64 divisors (see below), whose sum is σ = 110160000. Its totient is φ = 15757440.

The previous prime is 44106031. The next prime is 44106059. The reversal of 44106040 is 4060144.

44106040 = T441 + T442 + ... + T704.

It is a junction number, because it is equal to n+sod(n) for n = 44105999 and 44106017.

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, 25111 + ... + 26809.

It is an arithmetic number, because the mean of its divisors is an integer number (1721250).

Almost surely, 244106040 is an apocalyptic number.

44106040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44106040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55080000).

44106040 is an abundant number, since it is smaller than the sum of its proper divisors (66053960).

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

44106040 is a wasteful number, since it uses less digits than its factorization.

44106040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 44106040 is about 6641.2378364278. The cubic root of 44106040 is about 353.3182106577.

Adding to 44106040 its reverse (4060144), we get a palindrome (48166184).

The spelling of 44106040 in words is "forty-four million, one hundred six thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 59 88 110 118 220 236 295 440 472 590 649 1180 1298 1699 2360 2596 3245 3398 5192 6490 6796 8495 12980 13592 16990 18689 25960 33980 37378 67960 74756 93445 100241 149512 186890 200482 373780 400964 501205 747560 801928 1002410 1102651 2004820 2205302 4009640 4410604 5513255 8821208 11026510 22053020 44106040