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459040953 = 37172431759
BaseRepresentation
bin11011010111000…
…110100010111001
31011222202200210210
4123113012202321
51420003302303
6113314501333
714242532550
oct3327064271
91158680723
10459040953
11216131298
12109894849
1374143b87
1444d72d97
152a477203
hex1b5c68b9

459040953 has 48 divisors (see below), whose sum is σ = 760770560. Its totient is φ = 241000704.

The previous prime is 459040951. The next prime is 459040973. The reversal of 459040953 is 359040954.

It is not a de Polignac number, because 459040953 - 21 = 459040951 is a prime.

It is a super-2 number, since 2×4590409532 = 421437193062296418, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (459040951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260088 + ... + 261846.

Almost surely, 2459040953 is an apocalyptic number.

459040953 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

459040953 is a deficient number, since it is larger than the sum of its proper divisors (301729607).

459040953 is a wasteful number, since it uses less digits than its factorization.

459040953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 459040953 is about 21425.2410254821. The cubic root of 459040953 is about 771.4074180610.

Subtracting from 459040953 its reverse (359040954), we obtain a palindrome (99999999).

The spelling of 459040953 in words is "four hundred fifty-nine million, forty thousand, nine hundred fifty-three".

Divisors: 1 3 7 17 21 43 51 119 129 289 301 357 731 867 903 1759 2023 2193 5117 5277 6069 12313 12427 15351 29903 36939 37281 75637 86989 89709 209321 226911 260967 508351 529459 627963 1285829 1525053 1588377 3558457 3857487 9000803 10675371 21859093 27002409 65577279 153013651 459040953