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5900040400 = 245217867653
BaseRepresentation
bin1010111111010101…
…10111100011010000
3120020011222002212211
411133222313203100
544040402243100
62413242201504
7266131341652
oct53752674320
916204862784
105900040400
112558467751
121187ab3294
1373046a787
143dd82c6d2
15247e901ba
hex15fab78d0

5900040400 has 60 divisors (see below), whose sum is σ = 15008678892. Its totient is φ = 2221189120.

The previous prime is 5900040347. The next prime is 5900040403. The reversal of 5900040400 is 40400095.

It can be written as a sum of positive squares in 6 ways, for example, as 571536 + 5899468864 = 756^2 + 76808^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5900040403) 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 11 ways as a sum of consecutive naturals, for example, 427027 + ... + 440626.

Almost surely, 25900040400 is an apocalyptic number.

5900040400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5900040400 is an abundant number, since it is smaller than the sum of its proper divisors (9108638492).

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

5900040400 is a wasteful number, since it uses less digits than its factorization.

5900040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867688 (or 867677 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 5900040400 is about 76811.7204598361. The cubic root of 5900040400 is about 1806.9729936927.

Adding to 5900040400 its reverse (40400095), we get a palindrome (5940440495).

The spelling of 5900040400 in words is "five billion, nine hundred million, forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 6800 867653 1735306 3470612 4338265 6941224 8676530 13882448 14750101 17353060 21691325 29500202 34706120 43382650 59000404 69412240 73750505 86765300 118000808 147501010 173530600 236001616 295002020 347061200 368752525 590004040 737505050 1180008080 1475010100 2950020200 5900040400