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5812750400 = 26524188609
BaseRepresentation
bin1010110100111011…
…11000100001000000
3120000002201022111212
411122131320201000
543401031003100
62400443225252
7264021364112
oct53235704100
916002638455
105812750400
112513167456
121162818228
137183571a2
143d1dc93b2
1524049b635
hex15a778840

5812750400 has 84 divisors (see below), whose sum is σ = 14652017940. Its totient is φ = 2268364800.

The previous prime is 5812750379. The next prime is 5812750409. The reversal of 5812750400 is 40572185.

It can be written as a sum of positive squares in 6 ways, for example, as 56190016 + 5756560384 = 7496^2 + 75872^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (5812750409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21296 + ... + 109904.

It is an arithmetic number, because the mean of its divisors is an integer number (174428785).

Almost surely, 25812750400 is an apocalyptic number.

5812750400 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 5812750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7326008970).

5812750400 is an abundant number, since it is smaller than the sum of its proper divisors (8839267540).

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

5812750400 is a wasteful number, since it uses less digits than its factorization.

5812750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88672 (or 88657 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 5812750400 is about 76241.3955800915. The cubic root of 5812750400 is about 1798.0174055676.

The spelling of 5812750400 in words is "five billion, eight hundred twelve million, seven hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 64 80 82 100 160 164 200 205 320 328 400 410 656 800 820 1025 1312 1600 1640 2050 2624 3280 4100 6560 8200 13120 16400 32800 65600 88609 177218 354436 443045 708872 886090 1417744 1772180 2215225 2835488 3544360 3632969 4430450 5670976 7088720 7265938 8860900 14177440 14531876 17721800 18164845 28354880 29063752 35443600 36329690 58127504 70887200 72659380 90824225 116255008 141774400 145318760 181648450 232510016 290637520 363296900 581275040 726593800 1162550080 1453187600 2906375200 5812750400