Search a number
-
+
1828697634 = 23434732531
BaseRepresentation
bin110110011111111…
…1011011000100010
311201110000110120000
41230333323120202
512221121311014
6501243200430
763213446661
oct15477733042
94643013500
101828697634
11859285665
12430516116
13231b2a30a
14134c26dd8
15aa826509
hex6cffb622

1828697634 has 40 divisors (see below), whose sum is σ = 4109572368. Its totient is φ = 607790520.

The previous prime is 1828697569. The next prime is 1828697653. The reversal of 1828697634 is 4367968281.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39949 + ... + 72479.

Almost surely, 21828697634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1828697634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054786184).

1828697634 is an abundant number, since it is smaller than the sum of its proper divisors (2280874734).

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

1828697634 is a wasteful number, since it uses less digits than its factorization.

1828697634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32892 (or 32883 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 1828697634 is about 42763.2743601329. The cubic root of 1828697634 is about 1222.8709672486.

The spelling of 1828697634 in words is "one billion, eight hundred twenty-eight million, six hundred ninety-seven thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 347 694 1041 2082 3123 6246 9369 18738 28107 32531 56214 65062 97593 195186 292779 585558 878337 1756674 2635011 5270022 11288257 22576514 33864771 67729542 101594313 203188626 304782939 609565878 914348817 1828697634