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75144144 = 2434138183
BaseRepresentation
bin1000111101010…
…01101111010000
312020101201101110
410132221233100
5123214103034
611242333320
71601500065
oct436515720
9166351343
1075144144
11394649a9
12211ba240
13127500ba
149da0c6c
1568e4de9
hex47a9bd0

75144144 has 40 divisors (see below), whose sum is σ = 198862272. Its totient is φ = 24436480.

The previous prime is 75144109. The next prime is 75144149. The reversal of 75144144 is 44144157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75144149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17124 + ... + 21059.

Almost surely, 275144144 is an apocalyptic number.

It is an amenable number.

75144144 is an abundant number, since it is smaller than the sum of its proper divisors (123718128).

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

75144144 is a wasteful number, since it uses less digits than its factorization.

75144144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38235 (or 38229 counting only the distinct ones).

The product of its digits is 8960, while the sum is 30.

The square root of 75144144 is about 8668.5722007722. The cubic root of 75144144 is about 421.9863281061.

The spelling of 75144144 in words is "seventy-five million, one hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 38183 76366 114549 152732 229098 305464 458196 610928 916392 1565503 1832784 3131006 4696509 6262012 9393018 12524024 18786036 25048048 37572072 75144144