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5259439400 = 2352192415743
BaseRepresentation
bin1001110010111110…
…01010110100101000
3111120112120012111212
410321133022310220
541232404030100
62225520012252
7244222332365
oct47137126450
914515505455
105259439400
1122598a8736
121029461088
1365a827927
1437c71746c
1520bb02635
hex1397cad28

5259439400 has 96 divisors (see below), whose sum is σ = 12927446400. Its totient is φ = 1984435200.

The previous prime is 5259439363. The next prime is 5259439433. The reversal of 5259439400 is 49349525.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 912929 + ... + 918671.

It is an arithmetic number, because the mean of its divisors is an integer number (134660900).

Almost surely, 25259439400 is an apocalyptic number.

5259439400 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 5259439400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6463723200).

5259439400 is an abundant number, since it is smaller than the sum of its proper divisors (7668007000).

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

5259439400 is a wasteful number, since it uses less digits than its factorization.

5259439400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6019 (or 6010 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The square root of 5259439400 is about 72521.9925264054. The cubic root of 5259439400 is about 1739.0543370670.

The spelling of 5259439400 in words is "five billion, two hundred fifty-nine million, four hundred thirty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 241 380 475 482 760 950 964 1205 1900 1928 2410 3800 4579 4820 5743 6025 9158 9640 11486 12050 18316 22895 22972 24100 28715 36632 45790 45944 48200 57430 91580 109117 114475 114860 143575 183160 218234 228950 229720 287150 436468 457900 545585 574300 872936 915800 1091170 1148600 1384063 2182340 2727925 2768126 4364680 5455850 5536252 6920315 10911700 11072504 13840630 21823400 26297197 27681260 34601575 52594394 55362520 69203150 105188788 131485985 138406300 210377576 262971970 276812600 525943940 657429925 1051887880 1314859850 2629719700 5259439400