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429146802 = 23372792053
BaseRepresentation
bin11001100101000…
…100001010110010
31002220111220202000
4121211010022302
51334330144202
6110330034430
713430454600
oct3145041262
91086456660
10429146802
11200273387
12bb878a16
136aba8126
1440dd0870
1527a1e91c
hex199442b2

429146802 has 96 divisors (see below), whose sum is σ = 1123948800. Its totient is φ = 121002336.

The previous prime is 429146789. The next prime is 429146813. The reversal of 429146802 is 208641924.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208008 + ... + 210060.

It is an arithmetic number, because the mean of its divisors is an integer number (11707800).

Almost surely, 2429146802 is an apocalyptic number.

429146802 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 429146802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561974400).

429146802 is an abundant number, since it is smaller than the sum of its proper divisors (694801998).

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

429146802 is a wasteful number, since it uses less digits than its factorization.

429146802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 429146802 is about 20715.8587077630. The cubic root of 429146802 is about 754.2846912803.

The spelling of 429146802 in words is "four hundred twenty-nine million, one hundred forty-six thousand, eight hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 79 98 126 147 158 189 237 294 378 441 474 553 711 882 1106 1323 1422 1659 2053 2133 2646 3318 3871 4106 4266 4977 6159 7742 9954 11613 12318 14371 14931 18477 23226 28742 29862 34839 36954 43113 55431 69678 86226 100597 104517 110862 129339 162187 201194 209034 258678 301791 324374 388017 486561 603582 776034 905373 973122 1135309 1459683 1810746 2270618 2716119 2919366 3405927 4379049 5432238 6811854 7947163 8758098 10217781 15894326 20435562 23841489 30653343 47682978 61306686 71524467 143048934 214573401 429146802