Search a number
-
+
36622664 = 23133491009
BaseRepresentation
bin1000101110110…
…1000101001000
32112220121211222
42023231011020
533333411124
63344541212
7623200421
oct213550510
975817758
1036622664
1119744171
1210321808
137783520
144c14648
15333625e
hex22ed148

36622664 has 32 divisors (see below), whose sum is σ = 74235000. Its totient is φ = 16837632.

The previous prime is 36622661. The next prime is 36622673. The reversal of 36622664 is 46622663.

It can be written as a sum of positive squares in 4 ways, for example, as 26112100 + 10510564 = 5110^2 + 3242^2 .

It is not an unprimeable number, because it can be changed into a prime (36622661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35792 + ... + 36800.

Almost surely, 236622664 is an apocalyptic number.

It is an amenable number.

36622664 is an abundant number, since it is smaller than the sum of its proper divisors (37612336).

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

36622664 is a wasteful number, since it uses less digits than its factorization.

36622664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1373 counting only the distinct ones).

The product of its digits is 62208, while the sum is 35.

The square root of 36622664 is about 6051.6662168365. Note that the first 3 decimals coincide. The cubic root of 36622664 is about 332.0855491544.

Subtracting 36622664 from its reverse (46622663), we obtain a palindrome (9999999).

The spelling of 36622664 in words is "thirty-six million, six hundred twenty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 104 349 698 1009 1396 2018 2792 4036 4537 8072 9074 13117 18148 26234 36296 52468 104936 352141 704282 1408564 2817128 4577833 9155666 18311332 36622664