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1929689424 = 2432131030817
BaseRepresentation
bin111001100000100…
…1011100101010000
311222111001101020200
41303001023211100
512423000030144
6515251535200
765551042455
oct16301134520
94874041220
101929689424
11900294253
1245a2ba500
13249a2a380
141443d582c
15b4624c69
hex7304b950

1929689424 has 60 divisors (see below), whose sum is σ = 5815875156. Its totient is φ = 593750016.

The previous prime is 1929689423. The next prime is 1929689473. The reversal of 1929689424 is 4249869291.

It can be written as a sum of positive squares in 2 ways, for example, as 1057550400 + 872139024 = 32520^2 + 29532^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1929689423) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 513537 + ... + 517280.

Almost surely, 21929689424 is an apocalyptic number.

It is an amenable number.

1929689424 is an abundant number, since it is smaller than the sum of its proper divisors (3886185732).

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

1929689424 is a wasteful number, since it uses less digits than its factorization.

1929689424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030844 (or 1030835 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 1929689424 is about 43928.2303763764. The cubic root of 1929689424 is about 1244.9802793605.

The spelling of 1929689424 in words is "one billion, nine hundred twenty-nine million, six hundred eighty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 1030817 2061634 3092451 4123268 6184902 8246536 9277353 12369804 13400621 16493072 18554706 24739608 26801242 37109412 40201863 49479216 53602484 74218824 80403726 107204968 120605589 148437648 160807452 214409936 241211178 321614904 482422356 643229808 964844712 1929689424