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73041664 = 28416959
BaseRepresentation
bin1000101101010…
…00011100000000
312002102220022211
410112220130000
5122144313124
611125311504
71544562313
oct426503400
9162386284
1073041664
1138259313
1220565594
1312195127
1499b497a
15662be94
hex45a8700

73041664 has 36 divisors (see below), whose sum is σ = 149375520. Its totient is φ = 35624960.

The previous prime is 73041653. The next prime is 73041667. The reversal of 73041664 is 46614037.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73041667) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7017 + ... + 13975.

It is an arithmetic number, because the mean of its divisors is an integer number (4149320).

Almost surely, 273041664 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 73041664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74687760).

73041664 is an abundant number, since it is smaller than the sum of its proper divisors (76333856).

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

73041664 is an equidigital number, since it uses as much as digits as its factorization.

73041664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7016 (or 7002 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 73041664 is about 8546.4415987006. The cubic root of 73041664 is about 418.0134150132.

The spelling of 73041664 in words is "seventy-three million, forty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 656 1312 2624 5248 6959 10496 13918 27836 55672 111344 222688 285319 445376 570638 890752 1141276 1781504 2282552 4565104 9130208 18260416 36520832 73041664