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4642688457 = 3211174364153
BaseRepresentation
bin1000101001011100…
…11100110111001001
3102222120001000021100
410110232130313021
534002012012312
62044404532013
7223023125601
oct42456346711
912876030240
104642688457
111a72749610
12a969b1009
1358cb15744
1432084dc01
151c28c65dc
hex114b9cdc9

4642688457 has 48 divisors (see below), whose sum is σ = 7926355008. Its totient is φ = 2586608640.

The previous prime is 4642688441. The next prime is 4642688461. The reversal of 4642688457 is 7548862464.

It is a happy number.

It is not a de Polignac number, because 4642688457 - 24 = 4642688441 is a prime.

It is a super-3 number, since 3×46426884573 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (4642688417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40293 + ... + 104445.

It is an arithmetic number, because the mean of its divisors is an integer number (165132396).

Almost surely, 24642688457 is an apocalyptic number.

It is an amenable number.

4642688457 is a deficient number, since it is larger than the sum of its proper divisors (3283666551).

4642688457 is a wasteful number, since it uses less digits than its factorization.

4642688457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64230 (or 64227 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The square root of 4642688457 is about 68137.2765598978. The cubic root of 4642688457 is about 1668.2322548508.

The spelling of 4642688457 in words is "four billion, six hundred forty-two million, six hundred eighty-eight thousand, four hundred fifty-seven".

Divisors: 1 3 9 11 17 33 43 51 99 129 153 187 387 473 561 731 1419 1683 2193 4257 6579 8041 24123 64153 72369 192459 577377 705683 1090601 2117049 2758579 3271803 6351147 8275737 9815409 11996611 24827211 30344369 35989833 46895843 91033107 107969499 140687529 273099321 422062587 515854273 1547562819 4642688457