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89570000 = 245413253
BaseRepresentation
bin1010101011010…
…11101011010000
320020112121221102
411111223223100
5140412220000
612515443532
72135222012
oct525535320
9206477842
1089570000
11466182a3
1225bb65a8
1315731300
14bc781b2
157ce43d5
hex556bad0

89570000 has 150 divisors (see below), whose sum is σ = 239253102. Its totient is φ = 32448000.

The previous prime is 89569993. The next prime is 89570003. The reversal of 89570000 is 7598.

It is a happy number.

It can be written as a sum of positive squares in 15 ways, for example, as 87086224 + 2483776 = 9332^2 + 1576^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89570003) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1689974 + ... + 1690026.

Almost surely, 289570000 is an apocalyptic number.

89570000 is a gapful number since it is divisible by the number (80) 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 89570000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119626551).

89570000 is an abundant number, since it is smaller than the sum of its proper divisors (149683102).

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

89570000 is a wasteful number, since it uses less digits than its factorization.

89570000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 89570000 is about 9464.1428560647. The cubic root of 89570000 is about 447.4256297871.

Adding to 89570000 its reverse (7598), we get a palindrome (89577598).

The spelling of 89570000 in words is "eighty-nine million, five hundred seventy thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 53 65 80 100 104 106 125 130 169 200 208 212 250 260 265 325 338 400 424 500 520 530 625 650 676 689 845 848 1000 1040 1060 1250 1300 1325 1352 1378 1625 1690 2000 2120 2500 2600 2650 2704 2756 3250 3380 3445 4225 4240 5000 5200 5300 5512 6500 6625 6760 6890 8125 8450 8957 10000 10600 11024 13000 13250 13520 13780 16250 16900 17225 17914 21125 21200 26000 26500 27560 32500 33125 33800 34450 35828 42250 44785 53000 55120 65000 66250 67600 68900 71656 84500 86125 89570 105625 106000 130000 132500 137800 143312 169000 172250 179140 211250 223925 265000 275600 338000 344500 358280 422500 430625 447850 530000 689000 716560 845000 861250 895700 1119625 1378000 1690000 1722500 1791400 2239250 3445000 3582800 4478500 5598125 6890000 8957000 11196250 17914000 22392500 44785000 89570000