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429277842 = 232723167887
BaseRepresentation
bin11001100101100…
…100001010010010
31002220202120111100
4121211210022102
51334343342332
6110332525230
713431541620
oct3145441222
91086676440
10429277842
11200352884
12bb920816
136ac22976
1441026510
1527a4867c
hex19964292

429277842 has 96 divisors (see below), whose sum is σ = 1117089792. Its totient is φ = 116484192.

The previous prime is 429277841. The next prime is 429277843. The reversal of 429277842 is 248772924.

It is an interprime number because it is at equal distance from previous prime (429277841) and next prime (429277843).

It is not an unprimeable number, because it can be changed into a prime (429277841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483523 + ... + 484409.

It is an arithmetic number, because the mean of its divisors is an integer number (11636352).

Almost surely, 2429277842 is an apocalyptic number.

429277842 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 429277842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558544896).

429277842 is an abundant number, since it is smaller than the sum of its proper divisors (687811950).

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

429277842 is a wasteful number, since it uses less digits than its factorization.

429277842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1089 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 429277842 is about 20719.0212606677. The cubic root of 429277842 is about 754.3614570916.

The spelling of 429277842 in words is "four hundred twenty-nine million, two hundred seventy-seven thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 167 207 322 334 414 483 501 887 966 1002 1169 1449 1503 1774 2338 2661 2898 3006 3507 3841 5322 6209 7014 7682 7983 10521 11523 12418 15966 18627 20401 21042 23046 26887 34569 37254 40802 53774 55881 61203 69138 80661 111762 122406 142807 148129 161322 183609 241983 285614 296258 367218 428421 444387 483966 856842 888774 1036903 1285263 1333161 2073806 2570526 2666322 3110709 3406967 6221418 6813934 9332127 10220901 18664254 20441802 23848769 30662703 47697538 61325406 71546307 143092614 214638921 429277842