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1689869824 = 29612887
BaseRepresentation
bin110010010111001…
…0101111000000000
311100202210021121021
41210232111320000
511430101313244
6435403435224
756606441116
oct14456257000
94322707537
101689869824
11797984235
123b1b25b14
1320c140696
14120609ab6
159d552284
hex64b95e00

1689869824 has 60 divisors (see below), whose sum is σ = 3436567992. Its totient is φ = 830146560.

The previous prime is 1689869813. The next prime is 1689869849. The reversal of 1689869824 is 4289689861.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 1904709 + ... + 1905595.

Almost surely, 21689869824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1689869824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718283996).

1689869824 is an abundant number, since it is smaller than the sum of its proper divisors (1746698168).

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

1689869824 is an frugal number, since it uses more digits than its factorization.

1689869824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 950 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 61.

The square root of 1689869824 is about 41108.0262722500. The cubic root of 1689869824 is about 1191.1078410511.

The spelling of 1689869824 in words is "one billion, six hundred eighty-nine million, eight hundred sixty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 512 887 976 1774 1952 3548 3721 3904 7096 7442 7808 14192 14884 15616 28384 29768 31232 54107 56768 59536 108214 113536 119072 216428 227072 238144 432856 454144 476288 865712 952576 1731424 1905152 3300527 3462848 6601054 6925696 13202108 13851392 26404216 27702784 52808432 105616864 211233728 422467456 844934912 1689869824