Search a number
-
+
457286414 = 2131923167241
BaseRepresentation
bin11011010000011…
…010001100001110
31011212110120000212
4123100122030032
51414031131124
6113213122422
714221604354
oct3320321416
91155416025
10457286414
11215143062
12109189412
137397b3a0
1444a377d4
152a22c40e
hex1b41a30e

457286414 has 64 divisors (see below), whose sum is σ = 819624960. Its totient is φ = 189319680.

The previous prime is 457286393. The next prime is 457286419. The reversal of 457286414 is 414682754.

It is a super-2 number, since 2×4572864142 = 418221728857958792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457286419) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1897334 + ... + 1897574.

It is an arithmetic number, because the mean of its divisors is an integer number (12806640).

Almost surely, 2457286414 is an apocalyptic number.

457286414 is a deficient number, since it is larger than the sum of its proper divisors (362338546).

457286414 is a wasteful number, since it uses less digits than its factorization.

457286414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465.

The product of its digits is 215040, while the sum is 41.

The square root of 457286414 is about 21384.2562180685. The cubic root of 457286414 is about 770.4233428503.

The spelling of 457286414 in words is "four hundred fifty-seven million, two hundred eighty-six thousand, four hundred fourteen".

Divisors: 1 2 13 19 23 26 38 46 167 241 247 299 334 437 482 494 598 874 2171 3133 3173 3841 4342 4579 5543 5681 6266 6346 7682 9158 11086 11362 40247 41249 49933 59527 72059 72979 80494 82498 99866 105317 119054 144118 145958 210634 523211 764693 925681 948727 1046422 1369121 1529386 1851362 1897454 2738242 9941009 12033853 17587939 19882018 24067706 35175878 228643207 457286414