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4191059000 = 23537159029
BaseRepresentation
bin1111100111001110…
…0111110000111000
3101211002012212010102
43321303213300320
532040402342000
61531512534532
7205600261622
oct37163476070
911732185112
104191059000
11186081a727
1298b6b1448
1351a39818b
142ba889c12
15197e153d5
hexf9ce7c38

4191059000 has 64 divisors (see below), whose sum is σ = 9945374400. Its totient is φ = 1652784000.

The previous prime is 4191058987. The next prime is 4191059009. The reversal of 4191059000 is 9501914.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4191059009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41486 + ... + 100514.

It is an arithmetic number, because the mean of its divisors is an integer number (155396475).

Almost surely, 24191059000 is an apocalyptic number.

4191059000 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 4191059000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4972687200).

4191059000 is an abundant number, since it is smaller than the sum of its proper divisors (5754315400).

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

4191059000 is a wasteful number, since it uses less digits than its factorization.

4191059000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59121 (or 59107 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 29.

The square root of 4191059000 is about 64738.3889203307. The cubic root of 4191059000 is about 1612.2829385527.

The spelling of 4191059000 in words is "four billion, one hundred ninety-one million, fifty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 125 142 200 250 284 355 500 568 710 1000 1420 1775 2840 3550 7100 8875 14200 17750 35500 59029 71000 118058 236116 295145 472232 590290 1180580 1475725 2361160 2951450 4191059 5902900 7378625 8382118 11805800 14757250 16764236 20955295 29514500 33528472 41910590 59029000 83821180 104776475 167642360 209552950 419105900 523882375 838211800 1047764750 2095529500 4191059000