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71250048 = 2732127487
BaseRepresentation
bin1000011111100…
…11000010000000
311222001212200200
410033303002000
5121220000143
611023045200
71523421042
oct417630200
9158055620
1071250048
1137245241
121ba40800
13119b87bc
149669a92
1563c61d3
hex43f3080

71250048 has 96 divisors (see below), whose sum is σ = 207068160. Its totient is φ = 23514624.

The previous prime is 71250041. The next prime is 71250083. The reversal of 71250048 is 84005217.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (71250041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146061 + ... + 146547.

It is an arithmetic number, because the mean of its divisors is an integer number (2156960).

Almost surely, 271250048 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 71250048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103534080).

71250048 is an abundant number, since it is smaller than the sum of its proper divisors (135818112).

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

71250048 is a wasteful number, since it uses less digits than its factorization.

71250048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 71250048 is about 8440.9743513412. The cubic root of 71250048 is about 414.5673101883.

The spelling of 71250048 in words is "seventy-one million, two hundred fifty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 254 288 381 384 487 508 576 762 974 1016 1143 1152 1461 1524 1948 2032 2286 2922 3048 3896 4064 4383 4572 5844 6096 7792 8128 8766 9144 11688 12192 15584 16256 17532 18288 23376 24384 31168 35064 36576 46752 48768 61849 62336 70128 73152 93504 123698 140256 146304 185547 187008 247396 280512 371094 494792 556641 561024 742188 989584 1113282 1484376 1979168 2226564 2968752 3958336 4453128 5937504 7916672 8906256 11875008 17812512 23750016 35625024 71250048