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75113948 = 22713434799
BaseRepresentation
bin1000111101000…
…10010111011100
312020100011222002
410132202113130
5123212121243
611241541432
71601313050
oct436422734
9166304862
1075113948
1139444248
12211a4878
131273c430
149d93c60
1568daeb8
hex47a25dc

75113948 has 48 divisors (see below), whose sum is σ = 165580800. Its totient is φ = 29018304.

The previous prime is 75113947. The next prime is 75113963. The reversal of 75113948 is 84931157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75113947) 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, 13253 + ... + 18051.

It is an arithmetic number, because the mean of its divisors is an integer number (3449600).

Almost surely, 275113948 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 75113948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82790400).

75113948 is an abundant number, since it is smaller than the sum of its proper divisors (90466852).

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

75113948 is a wasteful number, since it uses less digits than its factorization.

75113948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4866 (or 4864 counting only the distinct ones).

The product of its digits is 30240, while the sum is 38.

The square root of 75113948 is about 8666.8303317880. The cubic root of 75113948 is about 421.9297967268.

The spelling of 75113948 in words is "seventy-five million, one hundred thirteen thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 43 52 86 91 172 182 301 364 559 602 1118 1204 2236 3913 4799 7826 9598 15652 19196 33593 62387 67186 124774 134372 206357 249548 412714 436709 825428 873418 1444499 1746836 2682641 2888998 5365282 5777996 10730564 18778487 37556974 75113948