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75149064 = 23324125457
BaseRepresentation
bin1000111101010…
…10111100001000
312020101222010200
410132222330020
5123214232224
611242412200
71601520324
oct436527410
9166358120
1075149064
1139468671
1221201060
1312752403
149da2984
1568e65c9
hex47aaf08

75149064 has 48 divisors (see below), whose sum is σ = 208501020. Its totient is φ = 24437760.

The previous prime is 75149051. The next prime is 75149077. The reversal of 75149064 is 46094157.

It is an interprime number because it is at equal distance from previous prime (75149051) and next prime (75149077).

It can be written as a sum of positive squares in 2 ways, for example, as 51236964 + 23912100 = 7158^2 + 4890^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 9777 + ... + 15680.

Almost surely, 275149064 is an apocalyptic number.

It is an amenable number.

75149064 is an abundant number, since it is smaller than the sum of its proper divisors (133351956).

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

75149064 is a wasteful number, since it uses less digits than its factorization.

75149064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25510 (or 25503 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 75149064 is about 8668.8559798857. The cubic root of 75149064 is about 421.9955376391.

The spelling of 75149064 in words is "seventy-five million, one hundred forty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 25457 50914 76371 101828 152742 203656 229113 305484 458226 610968 916452 1043737 1832904 2087474 3131211 4174948 6262422 8349896 9393633 12524844 18787266 25049688 37574532 75149064