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4104052000 = 25537191427
BaseRepresentation
bin1111010010011110…
…1101110100100000
3101121000111102221221
43310213231310200
531401114131000
61515124024424
7203462603116
oct36447556440
911530442857
104104052000
1118166a3014
12966532114
13505353649
142ad0bbab6
1519047a61a
hexf49edd20

4104052000 has 96 divisors (see below), whose sum is σ = 10104756480. Its totient is φ = 1638188800.

The previous prime is 4104051997. The next prime is 4104052009. The reversal of 4104052000 is 2504014.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (4104052009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2875287 + ... + 2876713.

It is an arithmetic number, because the mean of its divisors is an integer number (105257880).

Almost surely, 24104052000 is an apocalyptic number.

4104052000 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 4104052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5052378240).

4104052000 is an abundant number, since it is smaller than the sum of its proper divisors (6000704480).

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

4104052000 is a wasteful number, since it uses less digits than its factorization.

4104052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 4104052000 is about 64062.8753647540. The cubic root of 4104052000 is about 1601.0477512361.

Adding to 4104052000 its reverse (2504014), we get a palindrome (4106556014).

The spelling of 4104052000 in words is "four billion, one hundred four million, fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 719 800 1000 1427 1438 2000 2854 2876 3595 4000 5708 5752 7135 7190 11416 11504 14270 14380 17975 22832 23008 28540 28760 35675 35950 45664 57080 57520 71350 71900 89875 114160 115040 142700 143800 178375 179750 228320 285400 287600 356750 359500 570800 575200 713500 719000 1026013 1141600 1427000 1438000 2052026 2854000 2876000 4104052 5130065 5708000 8208104 10260130 16416208 20520260 25650325 32832416 41040520 51300650 82081040 102601300 128251625 164162080 205202600 256503250 410405200 513006500 820810400 1026013000 2052026000 4104052000