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64820772 = 22321800577
BaseRepresentation
bin1111011101000…
…1011000100100
311111222020101100
43313101120210
5113043231042
610233200100
71414652562
oct367213044
9144866340
1064820772
1133653895
1219860030
13105772b3
148874a32
155a5624c
hex3dd1624

64820772 has 18 divisors (see below), whose sum is σ = 163852598. Its totient is φ = 21606912.

The previous prime is 64820753. The next prime is 64820773. The reversal of 64820772 is 27702846.

64820772 is a `hidden beast` number, since 648 + 2 + 0 + 7 + 7 + 2 = 666.

64820772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 42693156 + 22127616 = 6534^2 + 4704^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1800577 = 64820772 / (6 + 4 + 8 + 2 + 0 + 7 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (64820773) 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 5 ways as a sum of consecutive naturals, for example, 900253 + ... + 900324.

Almost surely, 264820772 is an apocalyptic number.

It is an amenable number.

64820772 is an abundant number, since it is smaller than the sum of its proper divisors (99031826).

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

64820772 is a wasteful number, since it uses less digits than its factorization.

64820772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800587 (or 1800582 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 64820772 is about 8051.1348268427. The cubic root of 64820772 is about 401.7026835545.

It can be divided in two parts, 64 and 820772, that added together give a square (820836 = 9062).

The spelling of 64820772 in words is "sixty-four million, eight hundred twenty thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 1800577 3601154 5401731 7202308 10803462 16205193 21606924 32410386 64820772