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5442521000 = 235375631381
BaseRepresentation
bin1010001000110011…
…00100011110101000
3112001022001201020212
411010121210132220
542121241133000
62300020040252
7251604444110
oct50431443650
915038051225
105442521000
112343185644
12107a833088
1368973a337
14398b74040
1521cc18c35
hex1446647a8

5442521000 has 128 divisors (see below), whose sum is σ = 14591266560. Its totient is φ = 1861344000.

The previous prime is 5442520961. The next prime is 5442521003. The reversal of 5442521000 is 1252445.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5442521003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3940310 + ... + 3941690.

It is an arithmetic number, because the mean of its divisors is an integer number (113994270).

Almost surely, 25442521000 is an apocalyptic number.

5442521000 is a gapful number since it is divisible by the number (50) 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 5442521000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7295633280).

5442521000 is an abundant number, since it is smaller than the sum of its proper divisors (9148745560).

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

5442521000 is a wasteful number, since it uses less digits than its factorization.

5442521000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 5442521000 is about 73773.4437314675. The cubic root of 5442521000 is about 1759.0035035643.

Adding to 5442521000 its reverse (1252445), we get a palindrome (5443773445).

The spelling of 5442521000 in words is "five billion, four hundred forty-two million, five hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 563 700 875 1000 1126 1381 1400 1750 2252 2762 2815 3500 3941 4504 5524 5630 6905 7000 7882 9667 11048 11260 13810 14075 15764 19334 19705 22520 27620 28150 31528 34525 38668 39410 48335 55240 56300 69050 70375 77336 78820 96670 98525 112600 138100 140750 157640 172625 193340 197050 241675 276200 281500 345250 386680 394100 483350 492625 563000 690500 777503 788200 966700 985250 1208375 1381000 1555006 1933400 1970500 2416750 3110012 3887515 3941000 4833500 5442521 6220024 7775030 9667000 10885042 15550060 19437575 21770084 27212605 31100120 38875150 43540168 54425210 77750300 97187875 108850420 136063025 155500600 194375750 217700840 272126050 388751500 544252100 680315125 777503000 1088504200 1360630250 2721260500 5442521000