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44445960 = 23325139497
BaseRepresentation
bin1010100110001…
…1000100001000
310002122002101200
42221203010020
542334232320
64224344200
71046533026
oct251430410
9102562350
1044445960
11230a79a9
1212a75060
1392923b0
145c8d716
153d7e290
hex2a63108

44445960 has 96 divisors (see below), whose sum is σ = 155577240. Its totient is φ = 10939392.

The previous prime is 44445911. The next prime is 44445967. The reversal of 44445960 is 6954444.

It can be written as a sum of positive squares in 4 ways, for example, as 15350724 + 29095236 = 3918^2 + 5394^2 .

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

It is not an unprimeable number, because it can be changed into a prime (44445967) 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, 69 + ... + 9428.

Almost surely, 244445960 is an apocalyptic number.

44445960 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 44445960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77788620).

44445960 is an abundant number, since it is smaller than the sum of its proper divisors (111131280).

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

44445960 is a wasteful number, since it uses less digits than its factorization.

44445960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9527 (or 9520 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 44445960 is about 6666.7803323643. The cubic root of 44445960 is about 354.2235493104.

It can be divided in two parts, 4444 and 5960, that added together give a square (10404 = 1022).

The spelling of 44445960 in words is "forty-four million, four hundred forty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 9497 18994 28491 37988 47485 56982 75976 85473 94970 113964 123461 142455 170946 189940 227928 246922 284910 341892 370383 379880 427365 493844 569820 617305 683784 740766 854730 987688 1111149 1139640 1234610 1481532 1709460 1851915 2222298 2469220 2963064 3418920 3703830 4444596 4938440 5555745 7407660 8889192 11111490 14815320 22222980 44445960