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64649984 = 28743839
BaseRepresentation
bin1111011010011…
…1101100000000
311111122120002212
43312213230000
5113022244414
610225401252
71413341630
oct366475400
9144576085
1064649984
1133547543
1219799228
1310517639
14882c6c0
155a2083e
hex3da7b00

64649984 has 72 divisors (see below), whose sum is σ = 151092480. Its totient is φ = 27030528.

The previous prime is 64649969. The next prime is 64650011. The reversal of 64649984 is 48994646.

64649984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 76637 + ... + 77475.

Almost surely, 264649984 is an apocalyptic number.

64649984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64649984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75546240).

64649984 is an abundant number, since it is smaller than the sum of its proper divisors (86442496).

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

64649984 is an equidigital number, since it uses as much as digits as its factorization.

64649984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 891 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 50.

The square root of 64649984 is about 8040.5213761298. The cubic root of 64649984 is about 401.3495748318.

The spelling of 64649984 in words is "sixty-four million, six hundred forty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 256 301 344 448 602 688 839 896 1204 1376 1678 1792 2408 2752 3356 4816 5504 5873 6712 9632 11008 11746 13424 19264 23492 26848 36077 38528 46984 53696 72154 77056 93968 107392 144308 187936 214784 252539 288616 375872 505078 577232 751744 1010156 1154464 1503488 2020312 2308928 4040624 4617856 8081248 9235712 16162496 32324992 64649984