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3075825000 = 2335541011
BaseRepresentation
bin1011011101010101…
…0101110101101000
321221100201002200110
42313111111311220
522244402400000
61225113334320
7136136036553
oct26725256550
97840632613
103075825000
11133924a936
1271a1073a0
133a03124c1
1421270369a
15130070850
hexb7555d68

3075825000 has 96 divisors (see below), whose sum is σ = 9611572320. Its totient is φ = 820200000.

The previous prime is 3075824987. The next prime is 3075825001. The reversal of 3075825000 is 5285703.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3075825001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54495 + ... + 95505.

It is an arithmetic number, because the mean of its divisors is an integer number (100120545).

Almost surely, 23075825000 is an apocalyptic number.

3075825000 is a gapful number since it is divisible by the number (30) 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 3075825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4805786160).

3075825000 is an abundant number, since it is smaller than the sum of its proper divisors (6535747320).

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

3075825000 is an equidigital number, since it uses as much as digits as its factorization.

3075825000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41045 (or 41021 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 3075825000 is about 55460.1208076578. The cubic root of 3075825000 is about 1454.2995648506.

The spelling of 3075825000 in words is "three billion, seventy-five million, eight hundred twenty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 3000 3125 3750 5000 6250 7500 9375 12500 15000 18750 25000 37500 41011 75000 82022 123033 164044 205055 246066 328088 410110 492132 615165 820220 984264 1025275 1230330 1640440 2050550 2460660 3075825 4101100 4921320 5126375 6151650 8202200 10252750 12303300 15379125 20505500 24606600 25631875 30758250 41011000 51263750 61516500 76895625 102527500 123033000 128159375 153791250 205055000 256318750 307582500 384478125 512637500 615165000 768956250 1025275000 1537912500 3075825000