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675325800 = 233252596359
BaseRepresentation
bin101000010000001…
…010011101101000
31202001202002211200
4220100022131220
52340340411200
6151002324200
722510113612
oct5020123550
91661662750
10675325800
113172272a6
1216a1b9660
13a9bb0586
1465993db2
153e44b800
hex2840a768

675325800 has 144 divisors (see below), whose sum is σ = 2306772000. Its totient is φ = 177006720.

The previous prime is 675325787. The next prime is 675325811. The reversal of 675325800 is 8523576.

675325800 is a `hidden beast` number, since 6 + 75 + 3 + 2 + 580 + 0 = 666.

It is a super-2 number, since 2×6753258002 = 912129872291280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103021 + ... + 109379.

It is an arithmetic number, because the mean of its divisors is an integer number (16019250).

Almost surely, 2675325800 is an apocalyptic number.

675325800 is a gapful number since it is divisible by the number (60) 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 675325800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153386000).

675325800 is an abundant number, since it is smaller than the sum of its proper divisors (1631446200).

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

675325800 is a wasteful number, since it uses less digits than its factorization.

675325800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6440 (or 6428 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 675325800 is about 25987.0313810562. The cubic root of 675325800 is about 877.3464313528.

The spelling of 675325800 in words is "six hundred seventy-five million, three hundred twenty-five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 59 60 72 75 90 100 118 120 150 177 180 200 225 236 295 300 354 360 450 472 531 590 600 708 885 900 1062 1180 1416 1475 1770 1800 2124 2360 2655 2950 3540 4248 4425 5310 5900 6359 7080 8850 10620 11800 12718 13275 17700 19077 21240 25436 26550 31795 35400 38154 50872 53100 57231 63590 76308 95385 106200 114462 127180 152616 158975 190770 228924 254360 286155 317950 375181 381540 457848 476925 572310 635900 750362 763080 953850 1125543 1144620 1271800 1430775 1500724 1875905 1907700 2251086 2289240 2861550 3001448 3376629 3751810 3815400 4502172 5627715 5723100 6753258 7503620 9004344 9379525 11255430 11446200 13506516 15007240 16883145 18759050 22510860 27013032 28138575 33766290 37518100 45021720 56277150 67532580 75036200 84415725 112554300 135065160 168831450 225108600 337662900 675325800