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64531872 = 2532224069
BaseRepresentation
bin1111011000101…
…0110110100000
311111102120002100
43312022312200
5113010004442
610223050400
71412340366
oct366126640
9144376070
1064531872
1133476829
1219740a00
13104a5952
1487db636
1559ea84c
hex3d8ada0

64531872 has 36 divisors (see below), whose sum is σ = 183513330. Its totient is φ = 21510528.

The previous prime is 64531871. The next prime is 64531877. The reversal of 64531872 is 27813546.

64531872 is a `hidden beast` number, since 645 + 3 + 1 + 8 + 7 + 2 = 666.

64531872 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., 64064016 + 467856 = 8004^2 + 684^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (64531871) 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, 111747 + ... + 112322.

Almost surely, 264531872 is an apocalyptic number.

It is an amenable number.

64531872 is an abundant number, since it is smaller than the sum of its proper divisors (118981458).

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

64531872 is a wasteful number, since it uses less digits than its factorization.

64531872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224085 (or 224074 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 64531872 is about 8033.1732210877. The cubic root of 64531872 is about 401.1050112311.

The spelling of 64531872 in words is "sixty-four million, five hundred thirty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 224069 448138 672207 896276 1344414 1792552 2016621 2688828 3585104 4033242 5377656 7170208 8066484 10755312 16132968 21510624 32265936 64531872