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4515625000 = 2359172
BaseRepresentation
bin1000011010010011…
…01111100000101000
3102122200221111222101
410031021233200220
533222000000000
62024025303144
7216621115315
oct41511574050
912580844871
104515625000
111a07a52997
12a60334ab4
1356c6b7773
1430ba15d0c
151b6677e6a
hex10d26f828

4515625000 has 120 divisors (see below), whose sum is σ = 11242674630. Its totient is φ = 1700000000.

The previous prime is 4515624991. The next prime is 4515625027. The reversal of 4515625000 is 5265154.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 15 ways, for example, as 2481434596 + 2034190404 = 49814^2 + 45102^2 .

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 4515625000.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 265624992 + ... + 265625008.

Almost surely, 24515625000 is an apocalyptic number.

4515625000 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 4515625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5621337315).

4515625000 is an abundant number, since it is smaller than the sum of its proper divisors (6727049630).

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

4515625000 is an frugal number, since it uses more digits than its factorization.

4515625000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 4515625000 is about 67198.4002785781. The cubic root of 4515625000 is about 1652.8722546145.

The spelling of 4515625000 in words is "four billion, five hundred fifteen million, six hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 289 340 425 500 578 625 680 850 1000 1156 1250 1445 1700 2125 2312 2500 2890 3125 3400 4250 5000 5780 6250 7225 8500 10625 11560 12500 14450 15625 17000 21250 25000 28900 31250 36125 42500 53125 57800 62500 72250 78125 85000 106250 125000 144500 156250 180625 212500 265625 289000 312500 361250 390625 425000 531250 625000 722500 781250 903125 1062500 1328125 1445000 1562500 1806250 1953125 2125000 2656250 3125000 3612500 3906250 4515625 5312500 6640625 7225000 7812500 9031250 10625000 13281250 15625000 18062500 22578125 26562500 33203125 36125000 45156250 53125000 66406250 90312500 112890625 132812500 180625000 225781250 265625000 451562500 564453125 903125000 1128906250 2257812500 4515625000