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8192142 = 232779823
BaseRepresentation
bin11111010000000010001110
3120102012111200
4133100002032
54044122032
6451330330
7126426540
oct37200216
916365450
108192142
114695972
1228b09a6
13190aa2a
141133690
15abc47c
hex7d008e

8192142 has 48 divisors (see below), whose sum is σ = 20567040. Its totient is φ = 2308176.

The previous prime is 8192141. The next prime is 8192143. The reversal of 8192142 is 2412918.

It is an interprime number because it is at equal distance from previous prime (8192141) and next prime (8192143).

It is a super-2 number, since 2×81921422 = 134222381096328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8192141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9543 + ... + 10365.

It is an arithmetic number, because the mean of its divisors is an integer number (428480).

Almost surely, 28192142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8192142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10283520).

8192142 is an abundant number, since it is smaller than the sum of its proper divisors (12374898).

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

8192142 is a wasteful number, since it uses less digits than its factorization.

8192142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 914 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 8192142 is about 2862.1918174714. The cubic root of 8192142 is about 201.5885327472.

The spelling of 8192142 in words is "eight million, one hundred ninety-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 79 126 158 237 474 553 711 823 1106 1422 1646 1659 2469 3318 4938 4977 5761 7407 9954 11522 14814 17283 34566 51849 65017 103698 130034 195051 390102 455119 585153 910238 1170306 1365357 2730714 4096071 8192142