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64393448 = 237331757
BaseRepresentation
bin1111010110100…
…1000011101000
311111011112012112
43311221003220
5112441042243
610220101452
71411223000
oct365510350
9144145175
1064393448
1133391829
1219694888
1310457942
1487a3000
1559be818
hex3d690e8

64393448 has 64 divisors (see below), whose sum is σ = 145536000. Its totient is φ = 26671680.

The previous prime is 64393447. The next prime is 64393457. The reversal of 64393448 is 84439346.

64393448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×643934482 = 8293032290657408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64393447) 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 15 ways as a sum of consecutive naturals, for example, 84686 + ... + 85442.

It is an arithmetic number, because the mean of its divisors is an integer number (2274000).

Almost surely, 264393448 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 64393448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72768000).

64393448 is an abundant number, since it is smaller than the sum of its proper divisors (81142552).

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

64393448 is a wasteful number, since it uses less digits than its factorization.

64393448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 797 counting only the distinct ones).

The product of its digits is 248832, while the sum is 41.

The square root of 64393448 is about 8024.5528224319. The cubic root of 64393448 is about 400.8180093448.

The spelling of 64393448 in words is "sixty-four million, three hundred ninety-three thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 196 217 248 343 392 434 686 757 868 1372 1514 1519 1736 2744 3028 3038 5299 6056 6076 10598 10633 12152 21196 21266 23467 37093 42392 42532 46934 74186 85064 93868 148372 164269 187736 259651 296744 328538 519302 657076 1038604 1149883 1314152 2077208 2299766 4599532 8049181 9199064 16098362 32196724 64393448