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73280424 = 23373711789
BaseRepresentation
bin1000101111000…
…10101110101000
312002220000211210
410113202232220
5122224433144
611134353120
71546605360
oct427425650
9162800753
1073280424
1138401738
122065b7a0
13122499c9
149a379a0
156677ab9
hex45e2ba8

73280424 has 64 divisors (see below), whose sum is σ = 215049600. Its totient is φ = 20369664.

The previous prime is 73280423. The next prime is 73280447. The reversal of 73280424 is 42408237.

It is a junction number, because it is equal to n+sod(n) for n = 73280391 and 73280400.

It is not an unprimeable number, because it can be changed into a prime (73280423) 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 15 ways as a sum of consecutive naturals, for example, 322 + ... + 12110.

It is an arithmetic number, because the mean of its divisors is an integer number (3360150).

Almost surely, 273280424 is an apocalyptic number.

73280424 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73280424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107524800).

73280424 is an abundant number, since it is smaller than the sum of its proper divisors (141769176).

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

73280424 is a wasteful number, since it uses less digits than its factorization.

73280424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11842 (or 11838 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 73280424 is about 8560.3985888509. The cubic root of 73280424 is about 418.4683897337.

The spelling of 73280424 in words is "seventy-three million, two hundred eighty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 888 1036 1554 2072 3108 6216 11789 23578 35367 47156 70734 82523 94312 141468 165046 247569 282936 330092 436193 495138 660184 872386 990276 1308579 1744772 1980552 2617158 3053351 3489544 5234316 6106702 9160053 10468632 12213404 18320106 24426808 36640212 73280424