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75031250 = 25674
BaseRepresentation
bin1000111100011…
…10001011010010
312020011222112012
410132032023102
5123202000000
611240102522
71600520000
oct436161322
9166158465
1075031250
11393980a8
1221164a42
13127108b8
149d71a70
1568c1735
hex478e2d2

75031250 has 70 divisors (see below), whose sum is σ = 164118993. Its totient is φ = 25725000.

The previous prime is 75031241. The next prime is 75031261. The reversal of 75031250 is 5213057.

It can be written as a sum of positive squares in 4 ways, for example, as 12794929 + 62236321 = 3577^2 + 7889^2 .

It is a tau number, because it is divible by the number of its divisors (70).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=6125.

It is a Duffinian number.

It is an unprimeable number.

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 34 ways as a sum of consecutive naturals, for example, 10718747 + ... + 10718753.

Almost surely, 275031250 is an apocalyptic number.

75031250 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

75031250 is an abundant number, since it is smaller than the sum of its proper divisors (89087743).

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

75031250 is an frugal number, since it uses more digits than its factorization.

75031250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 75031250 is about 8662.0580695352. The cubic root of 75031250 is about 421.7748962307.

The spelling of 75031250 in words is "seventy-five million, thirty-one thousand, two hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 125 175 245 250 343 350 490 625 686 875 1225 1250 1715 1750 2401 2450 3125 3430 4375 4802 6125 6250 8575 8750 12005 12250 15625 17150 21875 24010 30625 31250 42875 43750 60025 61250 85750 109375 120050 153125 214375 218750 300125 306250 428750 600250 765625 1071875 1500625 1531250 2143750 3001250 5359375 7503125 10718750 15006250 37515625 75031250