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75857250 = 2353714449
BaseRepresentation
bin1001000010101…
…11110101100010
312021201221120210
410201113311202
5123404413000
611305514550
71610530110
oct441276542
9167657523
1075857250
1139901747
12214a2a56
131293c861
14a108ab0
1569d6350
hex4857d62

75857250 has 64 divisors (see below), whose sum is σ = 216403200. Its totient is φ = 17337600.

The previous prime is 75857233. The next prime is 75857251. The reversal of 75857250 is 5275857.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 75857199 and 75857208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75857251) 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 31 ways as a sum of consecutive naturals, for example, 1975 + ... + 12474.

It is an arithmetic number, because the mean of its divisors is an integer number (3381300).

Almost surely, 275857250 is an apocalyptic number.

75857250 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 75857250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108201600).

75857250 is an abundant number, since it is smaller than the sum of its proper divisors (140545950).

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

75857250 is a wasteful number, since it uses less digits than its factorization.

75857250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14476 (or 14466 counting only the distinct ones).

The product of its (nonzero) digits is 98000, while the sum is 39.

The square root of 75857250 is about 8709.6067649464. The cubic root of 75857250 is about 423.3169887807.

The spelling of 75857250 in words is "seventy-five million, eight hundred fifty-seven thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 125 150 175 210 250 350 375 525 750 875 1050 1750 2625 5250 14449 28898 43347 72245 86694 101143 144490 202286 216735 303429 361225 433470 505715 606858 722450 1011430 1083675 1517145 1806125 2167350 2528575 3034290 3612250 5057150 5418375 7585725 10836750 12642875 15171450 25285750 37928625 75857250