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64817056 = 2517196271
BaseRepresentation
bin1111011101000…
…0011110100000
311111222001021201
43313100132200
5113043121211
610233130544
71414636003
oct367203640
9144861251
1064817056
1133651017
1219859a54
13105756b5
14887353a
155a550c1
hex3dd07a0

64817056 has 48 divisors (see below), whose sum is σ = 142248960. Its totient is φ = 28892160.

The previous prime is 64817047. The next prime is 64817087. The reversal of 64817056 is 65071846.

64817056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7201 + ... + 13471.

It is an arithmetic number, because the mean of its divisors is an integer number (2963520).

Almost surely, 264817056 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 64817056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71124480).

64817056 is an abundant number, since it is smaller than the sum of its proper divisors (77431904).

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

64817056 is a wasteful number, since it uses less digits than its factorization.

64817056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6317 (or 6309 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 64817056 is about 8050.9040486147. The cubic root of 64817056 is about 401.6950072307.

The spelling of 64817056 in words is "sixty-four million, eight hundred seventeen thousand, fifty-six".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 544 608 646 1292 2584 5168 6271 10336 12542 25084 50168 100336 106607 119149 200672 213214 238298 426428 476596 852856 953192 1705712 1906384 2025533 3411424 3812768 4051066 8102132 16204264 32408528 64817056