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73390112 = 257389353
BaseRepresentation
bin1000101111111…
…01100000100000
312010002121022022
410113331200200
5122241440422
611141001012
71550543225
oct427754040
9163077268
1073390112
1138477094
12206b3168
1312287903
149a6594c
15669a342
hex45fd820

73390112 has 48 divisors (see below), whose sum is σ = 148531320. Its totient is φ = 35684352.

The previous prime is 73390081. The next prime is 73390117. The reversal of 73390112 is 21109337.

It can be written as a sum of positive squares in 4 ways, for example, as 51897616 + 21492496 = 7204^2 + 4636^2 .

It is a super-2 number, since 2×733901122 = 10772217078745088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73390117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207728 + ... + 208080.

Almost surely, 273390112 is an apocalyptic number.

It is an amenable number.

73390112 is an abundant number, since it is smaller than the sum of its proper divisors (75141208).

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

73390112 is a wasteful number, since it uses less digits than its factorization.

73390112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 73390112 is about 8566.8029042345. The cubic root of 73390112 is about 418.6770770172.

Adding to 73390112 its reverse (21109337), we get a palindrome (94499449).

The spelling of 73390112 in words is "seventy-three million, three hundred ninety thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 73 89 146 178 292 353 356 584 706 712 1168 1412 1424 2336 2824 2848 5648 6497 11296 12994 25769 25988 31417 51538 51976 62834 103076 103952 125668 206152 207904 251336 412304 502672 824608 1005344 2293441 4586882 9173764 18347528 36695056 73390112