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1864968252 = 2237181122663
BaseRepresentation
bin110111100101001…
…0010100000111100
311210222021012111020
41233022102200330
512304412441002
6505020424140
764133653140
oct15712224074
94728235436
101864968252
118777a9284
124406a8050
132394b9514
14139989220
15adadd2bc
hex6f29283c

1864968252 has 48 divisors (see below), whose sum is σ = 5000765952. Its totient is φ = 529899840.

The previous prime is 1864968227. The next prime is 1864968253. The reversal of 1864968252 is 2528694681.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1864968195 and 1864968204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1864968253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46128 + ... + 76535.

It is an arithmetic number, because the mean of its divisors is an integer number (104182624).

Almost surely, 21864968252 is an apocalyptic number.

1864968252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1864968252 is an abundant number, since it is smaller than the sum of its proper divisors (3135797700).

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

1864968252 is a wasteful number, since it uses less digits than its factorization.

1864968252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122858 (or 122856 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The square root of 1864968252 is about 43185.2781859744. The cubic root of 1864968252 is about 1230.9029551861.

The spelling of 1864968252 in words is "one billion, eight hundred sixty-four million, nine hundred sixty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 181 362 543 724 1086 1267 2172 2534 3801 5068 7602 15204 122663 245326 367989 490652 735978 858641 1471956 1717282 2575923 3434564 5151846 10303692 22202003 44404006 66606009 88808012 133212018 155414021 266424036 310828042 466242063 621656084 932484126 1864968252