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2429143626 = 237139294789
BaseRepresentation
bin1001000011001001…
…1100101001001010
320021021212021121110
42100302130221022
514433330044001
61041012551150
7114124244250
oct22062345112
96237767543
102429143626
111037208618
125796224b6
132c9350bc0
141908885d0
15e33d13d6
hex90c9ca4a

2429143626 has 64 divisors (see below), whose sum is σ = 5987116800. Its totient is φ = 639830016.

The previous prime is 2429143609. The next prime is 2429143631. The reversal of 2429143626 is 6263419242.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 504840 + ... + 509628.

It is an arithmetic number, because the mean of its divisors is an integer number (93548700).

Almost surely, 22429143626 is an apocalyptic number.

2429143626 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2429143626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993558400).

2429143626 is an abundant number, since it is smaller than the sum of its proper divisors (3557973174).

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

2429143626 is a wasteful number, since it uses less digits than its factorization.

2429143626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5743.

The product of its digits is 124416, while the sum is 39.

The square root of 2429143626 is about 49286.3431997141. The cubic root of 2429143626 is about 1344.2634729619.

The spelling of 2429143626 in words is "two billion, four hundred twenty-nine million, one hundred forty-three thousand, six hundred twenty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 929 1858 2787 4789 5574 6503 9578 12077 13006 14367 19509 24154 28734 33523 36231 39018 62257 67046 72462 84539 100569 124514 169078 186771 201138 253617 373542 435799 507234 871598 1307397 2614794 4448981 8897962 13346943 26693886 31142867 57836753 62285734 93428601 115673506 173510259 186857202 347020518 404857271 809714542 1214571813 2429143626