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73052064 = 253384551
BaseRepresentation
bin1000101101010…
…10111110100000
312002110102121000
410112222332200
5122200131224
611125432000
71544634531
oct426527640
9162412530
1073052064
1138266108
122056b600
1312199a97
1499b8688
1566300c9
hex45aafa0

73052064 has 48 divisors (see below), whose sum is σ = 213071040. Its totient is φ = 24350400.

The previous prime is 73052059. The next prime is 73052081. The reversal of 73052064 is 46025037.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 41412 + ... + 43139.

It is an arithmetic number, because the mean of its divisors is an integer number (4438980).

Almost surely, 273052064 is an apocalyptic number.

It is an amenable number.

73052064 is an abundant number, since it is smaller than the sum of its proper divisors (140018976).

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

73052064 is a wasteful number, since it uses less digits than its factorization.

73052064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84570 (or 84556 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 73052064 is about 8547.0500174037. The cubic root of 73052064 is about 418.0332536139.

The spelling of 73052064 in words is "seventy-three million, fifty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 84551 169102 253653 338204 507306 676408 760959 1014612 1352816 1521918 2029224 2282877 2705632 3043836 4058448 4565754 6087672 8116896 9131508 12175344 18263016 24350688 36526032 73052064