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4455625000 = 23577129
BaseRepresentation
bin1000010011001001…
…10111000100101000
3102111112001012110011
410021210313010220
533111120000000
62014043301304
7215262121231
oct41144670450
912445035404
104455625000
1119870a2012
12a4421a834
1356013a7c8
14303a78088
151b12752ba
hex109937128

4455625000 has 64 divisors (see below), whose sum is σ = 10444309200. Its totient is φ = 1782000000.

The previous prime is 4455624997. The next prime is 4455625019. The reversal of 4455625000 is 5265544.

It can be written as a sum of positive squares in 8 ways, for example, as 3914504356 + 541120644 = 62566^2 + 23262^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 621436 + ... + 628564.

Almost surely, 24455625000 is an apocalyptic number.

4455625000 is a gapful number since it is divisible by the number (40) 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 4455625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222154600).

4455625000 is an abundant number, since it is smaller than the sum of its proper divisors (5988684200).

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

4455625000 is an frugal number, since it uses more digits than its factorization.

4455625000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7170 (or 7136 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The square root of 4455625000 is about 66750.4681631522. The cubic root of 4455625000 is about 1645.5189094739.

The spelling of 4455625000 in words is "four billion, four hundred fifty-five million, six hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 5000 6250 7129 12500 14258 15625 25000 28516 31250 35645 57032 62500 71290 78125 125000 142580 156250 178225 285160 312500 356450 625000 712900 891125 1425800 1782250 3564500 4455625 7129000 8911250 17822500 22278125 35645000 44556250 89112500 111390625 178225000 222781250 445562500 556953125 891125000 1113906250 2227812500 4455625000