Search a number
-
+
75750016 = 27976101
BaseRepresentation
bin1001000001111…
…01101010000000
312021112111111011
410200331222000
5123343000031
611303330304
71606602346
oct440755200
9167474434
1075750016
1139839121
1221450994
1312902ac4
14a0bb996
1569b46b1
hex483da80

75750016 has 32 divisors (see below), whose sum is σ = 152488980. Its totient is φ = 37478400.

The previous prime is 75749987. The next prime is 75750023. The reversal of 75750016 is 61005757.

It can be written as a sum of positive squares in 2 ways, for example, as 75620416 + 129600 = 8696^2 + 360^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 75750016.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9366 + ... + 15466.

Almost surely, 275750016 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 75750016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76244490).

75750016 is an abundant number, since it is smaller than the sum of its proper divisors (76738964).

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

75750016 is an equidigital number, since it uses as much as digits as its factorization.

75750016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6212 (or 6200 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 31.

The square root of 75750016 is about 8703.4485119405. The cubic root of 75750016 is about 423.1174236727.

The spelling of 75750016 in words is "seventy-five million, seven hundred fifty thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 97 128 194 388 776 1552 3104 6101 6208 12202 12416 24404 48808 97616 195232 390464 591797 780928 1183594 2367188 4734376 9468752 18937504 37875008 75750016