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75018312 = 2334115769
BaseRepresentation
bin1000111100010…
…11000001001000
312020011022210000
410132023001020
5123201041222
611235523000
71600434165
oct436130110
9166138700
1075018312
1139389406
1221159460
1312707a45
149d6b06c
1568bc9ac
hex478b048

75018312 has 40 divisors (see below), whose sum is σ = 210122550. Its totient is φ = 25005888.

The previous prime is 75018283. The next prime is 75018313. The reversal of 75018312 is 21381057.

It can be written as a sum of positive squares in only one way, i.e., 40373316 + 34644996 = 6354^2 + 5886^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (75018313) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 57237 + ... + 58532.

Almost surely, 275018312 is an apocalyptic number.

75018312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

75018312 is an abundant number, since it is smaller than the sum of its proper divisors (135104238).

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

75018312 is a wasteful number, since it uses less digits than its factorization.

75018312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115787 (or 115774 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 75018312 is about 8661.3112171310. The cubic root of 75018312 is about 421.7506519445.

Adding to 75018312 its reverse (21381057), we get a palindrome (96399369).

The spelling of 75018312 in words is "seventy-five million, eighteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 115769 231538 347307 463076 694614 926152 1041921 1389228 2083842 2778456 3125763 4167684 6251526 8335368 9377289 12503052 18754578 25006104 37509156 75018312