Search a number
-
+
1838530656 = 25337272927
BaseRepresentation
bin110110110010101…
…1100000001100000
311202010112000221000
41231211130001200
512231130440111
6502234032000
763363152454
oct15545340140
94663460830
101838530656
11863891326
12433878600
13233b90b81
14136266664
15ab619c56
hex6d95c060

1838530656 has 96 divisors (see below), whose sum is σ = 5371591680. Its totient is φ = 611791488.

The previous prime is 1838530643. The next prime is 1838530663. The reversal of 1838530656 is 6560358381.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 626665 + ... + 629591.

It is an arithmetic number, because the mean of its divisors is an integer number (55954080).

Almost surely, 21838530656 is an apocalyptic number.

1838530656 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 1838530656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685795840).

1838530656 is an abundant number, since it is smaller than the sum of its proper divisors (3533061024).

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

1838530656 is a wasteful number, since it uses less digits than its factorization.

1838530656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 1838530656 is about 42878.0906291313. The cubic root of 1838530656 is about 1225.0588684191.

The spelling of 1838530656 in words is "one billion, eight hundred thirty-eight million, five hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 727 864 1454 2181 2908 2927 4362 5816 5854 6543 8724 8781 11632 11708 13086 17448 17562 19629 23264 23416 26172 26343 34896 35124 39258 46832 52344 52686 69792 70248 78516 79029 93664 104688 105372 140496 157032 158058 209376 210744 280992 314064 316116 421488 628128 632232 842976 1264464 2127929 2528928 4255858 6383787 8511716 12767574 17023432 19151361 25535148 34046864 38302722 51070296 57454083 68093728 76605444 102140592 114908166 153210888 204281184 229816332 306421776 459632664 612843552 919265328 1838530656