Search a number
-
+
64367072 = 25711151173
BaseRepresentation
bin1111010110001…
…0100111100000
311111010012000122
43311202213200
5112434221242
610215335412
71411053050
oct365424740
9144105018
1064367072
1133373a30
1219681568
1310448933
148797560
1559b6ad2
hex3d629e0

64367072 has 96 divisors (see below), whose sum is σ = 159957504. Its totient is φ = 24768000.

The previous prime is 64367071. The next prime is 64367113. The reversal of 64367072 is 27076346.

64367072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64367071) 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, 371978 + ... + 372150.

It is an arithmetic number, because the mean of its divisors is an integer number (1666224).

Almost surely, 264367072 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 64367072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79978752).

64367072 is an abundant number, since it is smaller than the sum of its proper divisors (95590432).

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

64367072 is a wasteful number, since it uses less digits than its factorization.

64367072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The square root of 64367072 is about 8022.9091980403. The cubic root of 64367072 is about 400.7632759316.

The spelling of 64367072 in words is "sixty-four million, three hundred sixty-seven thousand, seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 151 154 173 176 224 302 308 346 352 604 616 692 1057 1208 1211 1232 1384 1661 1903 2114 2416 2422 2464 2768 3322 3806 4228 4832 4844 5536 6644 7612 8456 9688 11627 13288 13321 15224 16912 19376 23254 26123 26576 26642 30448 33824 38752 46508 52246 53152 53284 60896 93016 104492 106568 182861 186032 208984 213136 287353 365722 372064 417968 426272 574706 731444 835936 1149412 1462888 2011471 2298824 2925776 4022942 4597648 5851552 8045884 9195296 16091768 32183536 64367072