Search a number
-
+
40625000 = 235813
BaseRepresentation
bin1001101011111…
…0001101101000
32211102222000122
42122332031220
540400000000
64010422412
71002210143
oct232761550
984388018
1040625000
1120a28189
1211731a08
138555180
14557705a
153877085
hex26be368

40625000 has 72 divisors (see below), whose sum is σ = 102539010. Its totient is φ = 15000000.

The previous prime is 40624943. The next prime is 40625017. The reversal of 40625000 is 52604.

It can be written as a sum of positive squares in 9 ways, for example, as 35307364 + 5317636 = 5942^2 + 2306^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40625000.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3124994 + ... + 3125006.

Almost surely, 240625000 is an apocalyptic number.

40625000 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 40625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51269505).

40625000 is an abundant number, since it is smaller than the sum of its proper divisors (61914010).

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

40625000 is an frugal number, since it uses more digits than its factorization.

40625000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 40625000 is about 6373.7743919910. The cubic root of 40625000 is about 343.7672167685.

Adding to 40625000 its reverse (52604), we get a palindrome (40677604).

It can be divided in two parts, 40 and 625000, that multiplied together give a square (25000000 = 50002).

The spelling of 40625000 in words is "forty million, six hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 625 650 1000 1250 1300 1625 2500 2600 3125 3250 5000 6250 6500 8125 12500 13000 15625 16250 25000 31250 32500 40625 62500 65000 78125 81250 125000 156250 162500 203125 312500 325000 390625 406250 625000 781250 812500 1015625 1562500 1625000 2031250 3125000 4062500 5078125 8125000 10156250 20312500 40625000