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75263468 = 22729591571
BaseRepresentation
bin1000111110001…
…10110111101100
312020121210001212
410133012313230
5123231412333
611245053552
71602505010
oct437066754
9166553055
1075263468
1139536615
12212572b8
13127924c7
149dd2540
15691a448
hex47c6dec

75263468 has 48 divisors (see below), whose sum is σ = 158457600. Its totient is φ = 30596160.

The previous prime is 75263467. The next prime is 75263509. The reversal of 75263468 is 86436257.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (75263467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47123 + ... + 48693.

It is an arithmetic number, because the mean of its divisors is an integer number (3301200).

Almost surely, 275263468 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 75263468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79228800).

75263468 is an abundant number, since it is smaller than the sum of its proper divisors (83194132).

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

75263468 is a wasteful number, since it uses less digits than its factorization.

75263468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1668 counting only the distinct ones).

The product of its digits is 241920, while the sum is 41.

The square root of 75263468 is about 8675.4520343323. The cubic root of 75263468 is about 422.2095722382.

The spelling of 75263468 in words is "seventy-five million, two hundred sixty-three thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 28 29 58 59 116 118 203 236 406 413 812 826 1571 1652 1711 3142 3422 6284 6844 10997 11977 21994 23954 43988 45559 47908 91118 92689 182236 185378 318913 370756 637826 648823 1275652 1297646 2595292 2687981 5375962 10751924 18815867 37631734 75263468