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5794252128 = 253274396547
BaseRepresentation
bin1010110010101110…
…10100010101100000
3112221210220111122200
411121113110111200
543331312032003
62354542533200
7263405221230
oct53127242540
915853814580
105794252128
112503782425
121158597200
1371457b472
143cd771cc0
1523da456a3
hex1595d4560

5794252128 has 144 divisors (see below), whose sum is σ = 18877098240. Its totient is φ = 1651477248.

The previous prime is 5794252127. The next prime is 5794252147. The reversal of 5794252128 is 8212524975.

5794252128 is a `hidden beast` number, since 5 + 7 + 9 + 425 + 212 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5794252127) 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, 881751 + ... + 888297.

It is an arithmetic number, because the mean of its divisors is an integer number (131090960).

Almost surely, 25794252128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5794252128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9438549120).

5794252128 is an abundant number, since it is smaller than the sum of its proper divisors (13082846112).

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

5794252128 is a wasteful number, since it uses less digits than its factorization.

5794252128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7009 (or 6998 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 5794252128 is about 76119.9850761940. The cubic root of 5794252128 is about 1796.1080650515.

The spelling of 5794252128 in words is "five billion, seven hundred ninety-four million, two hundred fifty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 439 504 672 878 1008 1317 1756 2016 2634 3073 3512 3951 5268 6146 6547 7024 7902 9219 10536 12292 13094 14048 15804 18438 19641 21072 24584 26188 27657 31608 36876 39282 42144 45829 49168 52376 55314 58923 63216 73752 78564 91658 98336 104752 110628 117846 126432 137487 147504 157128 183316 209504 221256 235692 274974 295008 314256 366632 412461 442512 471384 549948 628512 733264 824922 885024 942768 1099896 1466528 1649844 1885536 2199792 2874133 3299688 4399584 5748266 6599376 8622399 11496532 13198752 17244798 20118931 22993064 25867197 34489596 40237862 45986128 51734394 60356793 68979192 80475724 91972256 103468788 120713586 137958384 160951448 181070379 206937576 241427172 275916768 321902896 362140758 413875152 482854344 643805792 724281516 827750304 965708688 1448563032 1931417376 2897126064 5794252128