Search a number
-
+
73302048 = 25321991279
BaseRepresentation
bin1000101111010…
…00000000100000
312002221010111200
410113220000200
5122231131143
611135041200
71550025411
oct427500040
9162833450
1073302048
1138416a06
1220670200
13122567c1
149a41808
15667e1d3
hex45e8020

73302048 has 72 divisors (see below), whose sum is σ = 209664000. Its totient is φ = 24292224.

The previous prime is 73302029. The next prime is 73302059. The reversal of 73302048 is 84020337.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56673 + ... + 57951.

It is an arithmetic number, because the mean of its divisors is an integer number (2912000).

Almost surely, 273302048 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 73302048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104832000).

73302048 is an abundant number, since it is smaller than the sum of its proper divisors (136361952).

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

73302048 is a wasteful number, since it uses less digits than its factorization.

73302048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 73302048 is about 8561.6615209900. The cubic root of 73302048 is about 418.5095470217.

The spelling of 73302048 in words is "seventy-three million, three hundred two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 199 288 398 597 796 1194 1279 1592 1791 2388 2558 3184 3582 3837 4776 5116 6368 7164 7674 9552 10232 11511 14328 15348 19104 20464 23022 28656 30696 40928 46044 57312 61392 92088 122784 184176 254521 368352 509042 763563 1018084 1527126 2036168 2290689 3054252 4072336 4581378 6108504 8144672 9162756 12217008 18325512 24434016 36651024 73302048