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8417142 = 2331753173
BaseRepresentation
bin100000000110…
…111101110110
3120211122011000
4200012331312
54123322032
6500224130
7131354526
oct40067566
916748130
108417142
114829a18
12299b046
131989276
141191686
15b13e7c
hex806f76

8417142 has 64 divisors (see below), whose sum is σ = 20295360. Its totient is φ = 2575872.

The previous prime is 8417137. The next prime is 8417147. The reversal of 8417142 is 2417148.

8417142 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8417137) and next prime (8417147).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8417147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48568 + ... + 48740.

It is an arithmetic number, because the mean of its divisors is an integer number (317115).

Almost surely, 28417142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8417142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10147680).

8417142 is an abundant number, since it is smaller than the sum of its proper divisors (11878218).

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

8417142 is a wasteful number, since it uses less digits than its factorization.

8417142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 248 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 8417142 is about 2901.2311179911. The cubic root of 8417142 is about 203.4174557116.

The spelling of 8417142 in words is "eight million, four hundred seventeen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 53 54 102 106 153 159 173 306 318 346 459 477 519 901 918 954 1038 1431 1557 1802 2703 2862 2941 3114 4671 5406 5882 8109 8823 9169 9342 16218 17646 18338 24327 26469 27507 48654 52938 55014 79407 82521 155873 158814 165042 247563 311746 467619 495126 935238 1402857 2805714 4208571 8417142