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1821893949 = 32372672207
BaseRepresentation
bin110110010010111…
…1110010100111101
311200222012210122200
41230211332110331
512212401101244
6500441302113
763101562111
oct15445762475
94628183580
101821893949
11855458987
1242a194939
132305b7575
14133d75741
15a9e30669
hex6c97e53d

1821893949 has 36 divisors (see below), whose sum is σ = 2746283904. Its totient is φ = 1163603232.

The previous prime is 1821893939. The next prime is 1821893959. The reversal of 1821893949 is 9493981281.

It is an interprime number because it is at equal distance from previous prime (1821893939) and next prime (1821893959).

It is not a de Polignac number, because 1821893949 - 24 = 1821893933 is a prime.

It is a super-2 number, since 2×18218939492 = 6638595122805629202, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1821893895 and 1821893904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1821893929) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 824404 + ... + 826610.

It is an arithmetic number, because the mean of its divisors is an integer number (76285664).

Almost surely, 21821893949 is an apocalyptic number.

It is an amenable number.

1821893949 is a deficient number, since it is larger than the sum of its proper divisors (924389955).

1821893949 is a wasteful number, since it uses less digits than its factorization.

1821893949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2314 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 1821893949 is about 42683.6496682278. The cubic root of 1821893949 is about 1221.3525152953.

The spelling of 1821893949 in words is "one billion, eight hundred twenty-one million, eight hundred ninety-three thousand, nine hundred forty-nine".

Divisors: 1 3 9 37 67 111 201 333 603 1369 2207 2479 4107 6621 7437 12321 19863 22311 81659 91723 147869 244977 275169 443607 734931 825507 1330821 3021383 5471153 9064149 16413459 27192447 49240377 202432661 607297983 1821893949