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75739950 = 2325211213107
BaseRepresentation
bin1001000001110…
…11001100101110
312021111222200100
410200323030232
5123342134300
611303211530
71606531116
oct440731456
9167458610
1075739950
1139831600
1221446ba6
13128cb350
14a0b8046
1569b1700
hex483b32e

75739950 has 216 divisors, whose sum is σ = 243125064. Its totient is φ = 16790400.

The previous prime is 75739933. The next prime is 75739957. The reversal of 75739950 is 5993757.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 75739896 and 75739905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75739957) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 707797 + ... + 707903.

It is an arithmetic number, because the mean of its divisors is an integer number (1125579).

Almost surely, 275739950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75739950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121562532).

75739950 is an abundant number, since it is smaller than the sum of its proper divisors (167385114).

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

75739950 is a wasteful number, since it uses less digits than its factorization.

75739950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 297675, while the sum is 45.

The square root of 75739950 is about 8702.8702161988. The cubic root of 75739950 is about 423.0986809323.

The spelling of 75739950 in words is "seventy-five million, seven hundred thirty-nine thousand, nine hundred fifty".