Search a number
-
+
1829055397 = 132311272749
BaseRepresentation
bin110110100000101…
…0010101110100101
311201110200122022111
41231001102232211
512221214233042
6501255001021
763216500011
oct15501225645
94643618274
101829055397
118594aa434
12430669171
13231c24100
14134cbb541
15aa897517
hex6d052ba5

1829055397 has 24 divisors (see below), whose sum is σ = 2061312000. Its totient is φ = 1620440640.

The previous prime is 1829055383. The next prime is 1829055407. The reversal of 1829055397 is 7935509281.

It is not a de Polignac number, because 1829055397 - 211 = 1829053349 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1829055397.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1829055097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 663979 + ... + 666727.

It is an arithmetic number, because the mean of its divisors is an integer number (85888000).

Almost surely, 21829055397 is an apocalyptic number.

It is an amenable number.

1829055397 is a deficient number, since it is larger than the sum of its proper divisors (232256603).

1829055397 is a wasteful number, since it uses less digits than its factorization.

1829055397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 49.

The square root of 1829055397 is about 42767.4572192456. The cubic root of 1829055397 is about 1222.9507087817.

The spelling of 1829055397 in words is "one billion, eight hundred twenty-nine million, fifty-five thousand, three hundred ninety-seven".

Divisors: 1 13 31 127 169 403 1651 2749 3937 5239 21463 35737 51181 85219 349123 464581 665353 1107847 4538599 10822813 14402011 59001787 140696569 1829055397