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5794104400 = 2452712011723
BaseRepresentation
bin1010110010101101…
…10000010001010000
3112221210122000000021
411121112300101100
543331242320100
62354535433224
7263404034440
oct53126602120
915853560007
105794104400
112503691437
121158525814
13714529156
143cd734120
1523da16a1a
hex1595b0450

5794104400 has 120 divisors (see below), whose sum is σ = 15931442624. Its totient is φ = 1983744000.

The previous prime is 5794104391. The next prime is 5794104419. The reversal of 5794104400 is 44014975.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3361939 + ... + 3363661.

Almost surely, 25794104400 is an apocalyptic number.

5794104400 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 5794104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7965721312).

5794104400 is an abundant number, since it is smaller than the sum of its proper divisors (10137338224).

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

5794104400 is a wasteful number, since it uses less digits than its factorization.

5794104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 5794104400 is about 76119.0147072333. The cubic root of 5794104400 is about 1796.0928006307.

The spelling of 5794104400 in words is "five billion, seven hundred ninety-four million, one hundred four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1201 1400 1723 2402 2800 3446 4804 6005 6892 8407 8615 9608 12010 12061 13784 16814 17230 19216 24020 24122 27568 30025 33628 34460 42035 43075 48040 48244 60050 60305 67256 68920 84070 86150 96080 96488 120100 120610 134512 137840 168140 172300 192976 210175 240200 241220 301525 336280 344600 420350 480400 482440 603050 672560 689200 840700 964880 1206100 1681400 2069323 2412200 3362800 4138646 4824400 8277292 10346615 14485261 16554584 20693230 28970522 33109168 41386460 51733075 57941044 72426305 82772920 103466150 115882088 144852610 165545840 206932300 231764176 289705220 362131525 413864600 579410440 724263050 827729200 1158820880 1448526100 2897052200 5794104400