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75908142 = 232231811013
BaseRepresentation
bin1001000011001…
…00010000101110
312021211112101200
410201210100232
5123413030032
611310550330
71611131352
oct441442056
9167745350
1075908142
1139936a02
12215083a6
1312959a7b
14a11d462
1569e647c
hex486442e

75908142 has 48 divisors (see below), whose sum is σ = 172736928. Its totient is φ = 24045120.

The previous prime is 75908123. The next prime is 75908171. The reversal of 75908142 is 24180957.

It is a junction number, because it is equal to n+sod(n) for n = 75908097 and 75908106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74428 + ... + 75440.

It is an arithmetic number, because the mean of its divisors is an integer number (3598686).

Almost surely, 275908142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75908142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86368464).

75908142 is an abundant number, since it is smaller than the sum of its proper divisors (96828786).

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

75908142 is a wasteful number, since it uses less digits than its factorization.

75908142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 75908142 is about 8712.5278765695. The cubic root of 75908142 is about 423.4116342374.

The spelling of 75908142 in words is "seventy-five million, nine hundred eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 181 207 362 414 543 1013 1086 1629 2026 3039 3258 4163 6078 8326 9117 12489 18234 23299 24978 37467 46598 69897 74934 139794 183353 209691 366706 419382 550059 1100118 1650177 3300354 4217119 8434238 12651357 25302714 37954071 75908142