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73315264 = 2611223467
BaseRepresentation
bin1000101111010…
…11001111000000
312002221210122011
410113223033000
5122232042024
611135222304
71550112061
oct427531700
9162853564
1073315264
1138425930
1220677994
131225c819
149a46568
156683094
hex45eb3c0

73315264 has 56 divisors (see below), whose sum is σ = 159763968. Its totient is φ = 33104640.

The previous prime is 73315213. The next prime is 73315267. The reversal of 73315264 is 46251337.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73315267) 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 7 ways as a sum of consecutive naturals, for example, 156759 + ... + 157225.

It is an arithmetic number, because the mean of its divisors is an integer number (2852928).

Almost surely, 273315264 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 73315264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79881984).

73315264 is an abundant number, since it is smaller than the sum of its proper divisors (86448704).

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

73315264 is a wasteful number, since it uses less digits than its factorization.

73315264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 703 counting only the distinct ones).

The product of its digits is 15120, while the sum is 31.

The square root of 73315264 is about 8562.4332990103. The cubic root of 73315264 is about 418.5346972503.

The spelling of 73315264 in words is "seventy-three million, three hundred fifteen thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 223 352 446 467 704 892 934 1784 1868 2453 3568 3736 4906 5137 7136 7472 9812 10274 14272 14944 19624 20548 29888 39248 41096 78496 82192 104141 156992 164384 208282 328768 416564 833128 1145551 1666256 2291102 3332512 4582204 6665024 9164408 18328816 36657632 73315264