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82750000 = 2456331
BaseRepresentation
bin1001110111010…
…10101000110000
312202201010122211
410323222220300
5132141000000
612113341504
72023235434
oct473525060
9182633584
1082750000
114278a333
1223867894
13141b3cc8
14adc09c4
1573e87ba
hex4eeaa30

82750000 has 70 divisors (see below), whose sum is σ = 201013052. Its totient is φ = 33000000.

The previous prime is 82749991. The next prime is 82750009. The reversal of 82750000 is 5728.

It is an interprime number because it is at equal distance from previous prime (82749991) and next prime (82750009).

It is not an unprimeable number, because it can be changed into a prime (82750009) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 249835 + ... + 250165.

Almost surely, 282750000 is an apocalyptic number.

82750000 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 82750000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100506526).

82750000 is an abundant number, since it is smaller than the sum of its proper divisors (118263052).

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

82750000 is an frugal number, since it uses more digits than its factorization.

82750000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 82750000 is about 9096.7026993301. The cubic root of 82750000 is about 435.7686677877.

Adding to 82750000 its reverse (5728), we get a palindrome (82755728).

The spelling of 82750000 in words is "eighty-two million, seven hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 331 400 500 625 662 1000 1250 1324 1655 2000 2500 2648 3125 3310 5000 5296 6250 6620 8275 10000 12500 13240 15625 16550 25000 26480 31250 33100 41375 50000 62500 66200 82750 125000 132400 165500 206875 250000 331000 413750 662000 827500 1034375 1655000 2068750 3310000 4137500 5171875 8275000 10343750 16550000 20687500 41375000 82750000