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1289438952 = 233197139827
BaseRepresentation
bin100110011011011…
…0100011011101000
310022212022021201020
41030312310123220
510120044021302
6331541052440
743645023144
oct11466643350
93285267636
101289438952
1160194462a
122bb9b7120
131771aac39
14c3372224
1578305ebc
hex4cdb46e8

1289438952 has 64 divisors (see below), whose sum is σ = 3441139200. Its totient is φ = 401446080.

The previous prime is 1289438951. The next prime is 1289438963. The reversal of 1289438952 is 2598349821.

1289438952 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1289438895 and 1289438904.

It is not an unprimeable number, because it can be changed into a prime (1289438951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12463 + ... + 52289.

It is an arithmetic number, because the mean of its divisors is an integer number (53767800).

Almost surely, 21289438952 is an apocalyptic number.

1289438952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1289438952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720569600).

1289438952 is an abundant number, since it is smaller than the sum of its proper divisors (2151700248).

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

1289438952 is a wasteful number, since it uses less digits than its factorization.

1289438952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39926 (or 39922 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 1289438952 is about 35908.7587087050. The cubic root of 1289438952 is about 1088.4293941108.

The spelling of 1289438952 in words is "one billion, two hundred eighty-nine million, four hundred thirty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 71 76 114 142 152 213 228 284 426 456 568 852 1349 1704 2698 4047 5396 8094 10792 16188 32376 39827 79654 119481 159308 238962 318616 477924 756713 955848 1513426 2270139 2827717 3026852 4540278 5655434 6053704 8483151 9080556 11310868 16966302 18161112 22621736 33932604 53726623 67865208 107453246 161179869 214906492 322359738 429812984 644719476 1289438952