Search a number
-
+
36812500 = 22561931
BaseRepresentation
bin1000110001101…
…1011011010100
32120021021020221
42030123123110
533411000000
63353004124
7624621034
oct214333324
976237227
1036812500
111986385a
12103b3644
13781ba5a
144c638c4
15337261a
hex231b6d4

36812500 has 84 divisors (see below), whose sum is σ = 87498880. Its totient is φ = 13500000.

The previous prime is 36812491. The next prime is 36812507. The reversal of 36812500 is 521863.

It is a happy number.

36812500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36812507) 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 27 ways as a sum of consecutive naturals, for example, 1187485 + ... + 1187515.

Almost surely, 236812500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36812500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43749440).

36812500 is an abundant number, since it is smaller than the sum of its proper divisors (50686380).

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

36812500 is an equidigital number, since it uses as much as digits as its factorization.

36812500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 36812500 is about 6067.3305497558. The cubic root of 36812500 is about 332.6583563630.

The spelling of 36812500 in words is "thirty-six million, eight hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 31 38 50 62 76 95 100 124 125 155 190 250 310 380 475 500 589 620 625 775 950 1178 1250 1550 1900 2356 2375 2500 2945 3100 3125 3875 4750 5890 6250 7750 9500 11780 11875 12500 14725 15500 15625 19375 23750 29450 31250 38750 47500 58900 59375 62500 73625 77500 96875 118750 147250 193750 237500 294500 296875 368125 387500 484375 593750 736250 968750 1187500 1472500 1840625 1937500 3681250 7362500 9203125 18406250 36812500