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75445000 = 235479191
BaseRepresentation
bin1000111111100…
…11001100001000
312020222000002021
410133303030020
5123303220000
611253014224
71604162161
oct437631410
9166860067
1075445000
113964aa44
1221324374
1312827017
14a03c768
15695411a
hex47f3308

75445000 has 80 divisors (see below), whose sum is σ = 179942400. Its totient is φ = 29640000.

The previous prime is 75444947. The next prime is 75445057. The reversal of 75445000 is 54457.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent 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 19 ways as a sum of consecutive naturals, for example, 394905 + ... + 395095.

It is an arithmetic number, because the mean of its divisors is an integer number (2249280).

Almost surely, 275445000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89971200).

75445000 is an abundant number, since it is smaller than the sum of its proper divisors (104497400).

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

75445000 is a wasteful number, since it uses less digits than its factorization.

75445000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 25.

The square root of 75445000 is about 8685.9081275362. The cubic root of 75445000 is about 422.5487496705.

Adding to 75445000 its reverse (54457), we get a palindrome (75499457).

It can be divided in two parts, 7544 and 5000, that added together give a square (12544 = 1122).

The spelling of 75445000 in words is "seventy-five million, four hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 125 158 191 200 250 316 382 395 500 625 632 764 790 955 1000 1250 1528 1580 1910 1975 2500 3160 3820 3950 4775 5000 7640 7900 9550 9875 15089 15800 19100 19750 23875 30178 38200 39500 47750 49375 60356 75445 79000 95500 98750 119375 120712 150890 191000 197500 238750 301780 377225 395000 477500 603560 754450 955000 1508900 1886125 3017800 3772250 7544500 9430625 15089000 18861250 37722500 75445000