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64931688 = 23321018929
BaseRepresentation
bin1111011110110…
…0011101101000
311112011212112100
43313230131220
5113110303223
610235413400
71415624133
oct367543550
9145155470
1064931688
113371a158
12198b4260
13105b5923
1488a321a
155a79043
hex3dec768

64931688 has 48 divisors (see below), whose sum is σ = 177617700. Its totient is φ = 21427200.

The previous prime is 64931651. The next prime is 64931689. The reversal of 64931688 is 88613946.

It can be written as a sum of positive squares in 2 ways, for example, as 64931364 + 324 = 8058^2 + 18^2 .

It is a super-2 number, since 2×649316882 = 8432248213058688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (64931689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2808 + ... + 11736.

Almost surely, 264931688 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 64931688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88808850).

64931688 is an abundant number, since it is smaller than the sum of its proper divisors (112686012).

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

64931688 is a wasteful number, since it uses less digits than its factorization.

64931688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9042 (or 9035 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 64931688 is about 8058.0201042191. The cubic root of 64931688 is about 401.9316732466.

The spelling of 64931688 in words is "sixty-four million, nine hundred thirty-one thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 7272 8929 17858 26787 35716 53574 71432 80361 107148 160722 214296 321444 642888 901829 1803658 2705487 3607316 5410974 7214632 8116461 10821948 16232922 21643896 32465844 64931688