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4441724952 = 2337215312467
BaseRepresentation
bin1000010001011111…
…10101100000011000
3102110112220000011120
410020233311200120
533044040144302
62012425325240
7215033016300
oct41057654030
912415800146
104441724952
11197a268775
12a3b636820
1355a2b1a22
14301c9a600
151aee2b9bc
hex108bf5818

4441724952 has 96 divisors (see below), whose sum is σ = 12930937920. Its totient is φ = 1267721280.

The previous prime is 4441724939. The next prime is 4441724957. The reversal of 4441724952 is 2594271444.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4441724957) 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, 1799223 + ... + 1801689.

It is an arithmetic number, because the mean of its divisors is an integer number (134697270).

Almost surely, 24441724952 is an apocalyptic number.

4441724952 is a gapful number since it is divisible by the number (42) 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 4441724952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6465468960).

4441724952 is an abundant number, since it is smaller than the sum of its proper divisors (8489212968).

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

4441724952 is a wasteful number, since it uses less digits than its factorization.

4441724952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4021 (or 4010 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 4441724952 is about 66646.2673523431. The cubic root of 4441724952 is about 1643.8059722115.

The spelling of 4441724952 in words is "four billion, four hundred forty-one million, seven hundred twenty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 1531 2467 3062 4593 4934 6124 7401 9186 9868 10717 12248 14802 17269 18372 19736 21434 29604 32151 34538 36744 42868 51807 59208 64302 69076 75019 85736 103614 120883 128604 138152 150038 207228 225057 241766 257208 300076 362649 414456 450114 483532 600152 725298 900228 967064 1450596 1800456 2901192 3776977 7553954 11330931 15107908 22661862 26438839 30215816 45323724 52877678 79316517 90647448 105755356 158633034 185071873 211510712 317266068 370143746 555215619 634532136 740287492 1110431238 1480574984 2220862476 4441724952