Search a number
-
+
75500064 = 2532262153
BaseRepresentation
bin1001000000000…
…00101000100000
312021001210121200
410200000220200
5123312000224
611254121200
71604511543
oct440005040
9167053550
1075500064
1139688352
1221350200
13128460c3
14a05485a
1569655c9
hex4800a20

75500064 has 36 divisors (see below), whose sum is σ = 214704126. Its totient is φ = 25166592.

The previous prime is 75500059. The next prime is 75500069. The reversal of 75500064 is 46000557.

It is an interprime number because it is at equal distance from previous prime (75500059) and next prime (75500069).

It can be written as a sum of positive squares in only one way, i.e., 38192400 + 37307664 = 6180^2 + 6108^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (75500069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 130789 + ... + 131364.

Almost surely, 275500064 is an apocalyptic number.

It is an amenable number.

75500064 is an abundant number, since it is smaller than the sum of its proper divisors (139204062).

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

75500064 is a wasteful number, since it uses less digits than its factorization.

75500064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262169 (or 262158 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 75500064 is about 8689.0772812768. The cubic root of 75500064 is about 422.6515246107.

The spelling of 75500064 in words is "seventy-five million, five hundred thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 262153 524306 786459 1048612 1572918 2097224 2359377 3145836 4194448 4718754 6291672 8388896 9437508 12583344 18875016 25166688 37750032 75500064