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92242072 = 23131994457
BaseRepresentation
bin1010111111110…
…00000010011000
320102120101100001
411133320002120
5142103221242
613053022344
72200021216
oct537700230
9212511301
1092242072
114808291a
1226a849b4
1316158610
14c371cb6
158170eb7
hex57f8098

92242072 has 32 divisors (see below), whose sum is σ = 187236000. Its totient is φ = 42349824.

The previous prime is 92242067. The next prime is 92242079. The reversal of 92242072 is 27024229.

It is a self number, because there is not a number n which added to its sum of digits gives 92242072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92242079) 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 7 ways as a sum of consecutive naturals, for example, 18468 + ... + 22924.

It is an arithmetic number, because the mean of its divisors is an integer number (5851125).

Almost surely, 292242072 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 92242072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93618000).

92242072 is an abundant number, since it is smaller than the sum of its proper divisors (94993928).

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

92242072 is a wasteful number, since it uses less digits than its factorization.

92242072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4675 (or 4671 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 92242072 is about 9604.2736320869. The cubic root of 92242072 is about 451.8313386443.

The spelling of 92242072 in words is "ninety-two million, two hundred forty-two thousand, seventy-two".

Divisors: 1 2 4 8 13 26 52 104 199 398 796 1592 2587 4457 5174 8914 10348 17828 20696 35656 57941 115882 231764 463528 886943 1773886 3547772 7095544 11530259 23060518 46121036 92242072