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64240928 = 253122089
BaseRepresentation
bin1111010100001…
…1110100100000
311110212202222122
43311003310200
5112421202203
610212523412
71410016223
oct365036440
9143782878
1064240928
1133298184
1219620568
13104033ab
1487635ba
15598e538
hex3d43d20

64240928 has 36 divisors (see below), whose sum is σ = 130748310. Its totient is φ = 31069440.

The previous prime is 64240927. The next prime is 64240933. The reversal of 64240928 is 82904246.

It can be written as a sum of positive squares in only one way, i.e., 43191184 + 21049744 = 6572^2 + 4588^2 .

It is not an unprimeable number, because it can be changed into a prime (64240927) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29708 + ... + 31796.

Almost surely, 264240928 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 64240928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65374155).

64240928 is an abundant number, since it is smaller than the sum of its proper divisors (66507382).

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

64240928 is a wasteful number, since it uses less digits than its factorization.

64240928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 64240928 is about 8015.0438551514. The cubic root of 64240928 is about 400.5013048046.

The spelling of 64240928 in words is "sixty-four million, two hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 961 992 1922 2089 3844 4178 7688 8356 15376 16712 30752 33424 64759 66848 129518 259036 518072 1036144 2007529 2072288 4015058 8030116 16060232 32120464 64240928