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73201088 = 26232232
BaseRepresentation
bin1000101110011…
…11010111000000
312002202000000102
410113033113000
5122214413323
611132541532
71546125152
oct427172700
9162660012
1073201088
1138358074
12206218a8
131221c86c
149a16ad2
15665e328
hex45cf5c0

73201088 has 42 divisors (see below), whose sum is σ = 152256744. Its totient is φ = 34852224.

The previous prime is 73201081. The next prime is 73201127. The reversal of 73201088 is 88010237.

It is a self number, because there is not a number n which added to its sum of digits gives 73201088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73201081) 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 5 ways as a sum of consecutive naturals, for example, 328145 + ... + 328367.

Almost surely, 273201088 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 73201088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76128372).

73201088 is an abundant number, since it is smaller than the sum of its proper divisors (79055656).

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

73201088 is an equidigital number, since it uses as much as digits as its factorization.

73201088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 73201088 is about 8555.7634375899. The cubic root of 73201088 is about 418.3173189357.

The spelling of 73201088 in words is "seventy-three million, two hundred one thousand, eighty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 223 368 446 736 892 1472 1784 3568 5129 7136 10258 14272 20516 41032 49729 82064 99458 164128 198916 328256 397832 795664 1143767 1591328 2287534 3182656 4575068 9150136 18300272 36600544 73201088