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75342825 = 3352232211
BaseRepresentation
bin1000111110110…
…10001111101001
312020202210221000
410133122033221
5123241432300
611250505213
71603255245
oct437321751
9166683830
1075342825
11395901a8
1221295209
13127bc66c
14a013425
156933c00
hex47da3e9

75342825 has 72 divisors (see below), whose sum is σ = 145372640. Its totient is φ = 38253600.

The previous prime is 75342821. The next prime is 75342851. The reversal of 75342825 is 52824357.

It is not a de Polignac number, because 75342825 - 22 = 75342821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 75342825.

It is not an unprimeable number, because it can be changed into a prime (75342821) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 356970 + ... + 357180.

Almost surely, 275342825 is an apocalyptic number.

75342825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

75342825 is a deficient number, since it is larger than the sum of its proper divisors (70029815).

75342825 is a wasteful number, since it uses less digits than its factorization.

75342825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 242 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 75342825 is about 8680.0244815323. The cubic root of 75342825 is about 422.3579112086.

It can be divided in two parts, 75342 and 825, that added together give a palindrome (76167).

The spelling of 75342825 in words is "seventy-five million, three hundred forty-two thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 27 45 69 75 115 135 207 211 225 345 529 575 621 633 675 1035 1055 1587 1725 1899 2645 3105 3165 4761 4853 5175 5275 5697 7935 9495 13225 14283 14559 15525 15825 23805 24265 28485 39675 43677 47475 71415 72795 111619 119025 121325 131031 142425 218385 334857 357075 363975 558095 655155 1004571 1091925 1674285 2790475 3013713 3275775 5022855 8371425 15068565 25114275 75342825