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2575045000 = 23541146819
BaseRepresentation
bin1001100101111100…
…0001000110001000
320122110101211200001
42121133001012020
520233202420000
61103304052344
7120545343553
oct23137010610
96573354601
102575045000
111101600470
125ba4640b4
13320646388
141a5dc769a
1510110146a
hex997c1188

2575045000 has 80 divisors (see below), whose sum is σ = 6581955600. Its totient is φ = 936360000.

The previous prime is 2575044991. The next prime is 2575045009. The reversal of 2575045000 is 5405752.

It is an interprime number because it is at equal distance from previous prime (2575044991) and next prime (2575045009).

It is a self number, because there is not a number n which added to its sum of digits gives 2575045000.

It is not an unprimeable number, because it can be changed into a prime (2575045009) 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 19 ways as a sum of consecutive naturals, for example, 31591 + ... + 78409.

It is an arithmetic number, because the mean of its divisors is an integer number (82274445).

Almost surely, 22575045000 is an apocalyptic number.

2575045000 is a gapful number since it is divisible by the number (20) 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 2575045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290977800).

2575045000 is an abundant number, since it is smaller than the sum of its proper divisors (4006910600).

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

2575045000 is a wasteful number, since it uses less digits than its factorization.

2575045000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46856 (or 46837 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 28.

The square root of 2575045000 is about 50744.9012216991. The cubic root of 2575045000 is about 1370.6553775538.

The spelling of 2575045000 in words is "two billion, five hundred seventy-five million, forty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 625 1000 1100 1250 1375 2200 2500 2750 5000 5500 6875 11000 13750 27500 46819 55000 93638 187276 234095 374552 468190 515009 936380 1030018 1170475 1872760 2060036 2340950 2575045 4120072 4681900 5150090 5852375 9363800 10300180 11704750 12875225 20600360 23409500 25750450 29261875 46819000 51500900 58523750 64376125 103001800 117047500 128752250 234095000 257504500 321880625 515009000 643761250 1287522500 2575045000