Search a number
-
+
1926806656 = 27179412
BaseRepresentation
bin111001011011000…
…1011110010000000
311222021121220211111
41302312023302000
512421230303111
6515110053104
765514405055
oct16266136200
94867556744
101926806656
118a96a53a5
1245934a194
1324925b1a8
14143c8502c
15b4255a21
hex72d8bc80

1926806656 has 48 divisors (see below), whose sum is σ = 4068681570. Its totient is φ = 905768960.

The previous prime is 1926806653. The next prime is 1926806671. The reversal of 1926806656 is 6566086291.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1897473600 + 29333056 = 43560^2 + 5416^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1926806653) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2047146 + ... + 2048086.

Almost surely, 21926806656 is an apocalyptic number.

1926806656 is a gapful number since it is divisible by the number (16) 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 1926806656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034340785).

1926806656 is an abundant number, since it is smaller than the sum of its proper divisors (2141874914).

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

1926806656 is an frugal number, since it uses more digits than its factorization.

1926806656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The square root of 1926806656 is about 43895.4058643954. The cubic root of 1926806656 is about 1244.3600106357.

The spelling of 1926806656 in words is "one billion, nine hundred twenty-six million, eight hundred six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 941 1088 1882 2176 3764 7528 15056 15997 30112 31994 60224 63988 120448 127976 255952 511904 885481 1023808 1770962 2047616 3541924 7083848 14167696 15053177 28335392 30106354 56670784 60212708 113341568 120425416 240850832 481701664 963403328 1926806656