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73088028 = 22331352057
BaseRepresentation
bin1000101101100…
…11110000011100
312002112020221000
410112303300130
5122202304103
611130310300
71545144426
oct426636034
9162466830
1073088028
1138290132
1220588390
13121b0270
1499c7816
15663aaa3
hex45b3c1c

73088028 has 48 divisors (see below), whose sum is σ = 204067360. Its totient is φ = 22488192.

The previous prime is 73088023. The next prime is 73088047. The reversal of 73088028 is 82088037.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 73087983 and 73088001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73088021) 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, 24625 + ... + 27432.

Almost surely, 273088028 is an apocalyptic number.

73088028 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

73088028 is an abundant number, since it is smaller than the sum of its proper divisors (130979332).

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

73088028 is a wasteful number, since it uses less digits than its factorization.

73088028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52083 (or 52075 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 73088028 is about 8549.1536423204. The cubic root of 73088028 is about 418.1018425108.

Subtracting 73088028 from its reverse (82088037), we obtain a palindrome (9000009).

The spelling of 73088028 in words is "seventy-three million, eighty-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 52057 104114 156171 208228 312342 468513 624684 676741 937026 1353482 1405539 1874052 2030223 2706964 2811078 4060446 5622156 6090669 8120892 12181338 18272007 24362676 36544014 73088028