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457668190 = 25731210907
BaseRepresentation
bin11011010001110…
…111011001011110
31011220011221201201
4123101313121132
51414130340230
6113225230114
714225054410
oct3321673136
91156157651
10457668190
11215383981
1210933233a
1373a830a5
1444ad69b0
152a2a55ca
hex1b47765e

457668190 has 32 divisors (see below), whose sum is σ = 971864064. Its totient is φ = 151852320.

The previous prime is 457668163. The next prime is 457668209. The reversal of 457668190 is 91866754.

It is a super-2 number, since 2×4576681902 = 418920344275752200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 457668190.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103284 + ... + 107623.

It is an arithmetic number, because the mean of its divisors is an integer number (30370752).

Almost surely, 2457668190 is an apocalyptic number.

457668190 is an abundant number, since it is smaller than the sum of its proper divisors (514195874).

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

457668190 is a wasteful number, since it uses less digits than its factorization.

457668190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210952.

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 457668190 is about 21393.1809229016. The cubic root of 457668190 is about 770.6376850493.

It can be divided in two parts, 45766 and 8190, that added together give a triangular number (53956 = T328).

The spelling of 457668190 in words is "four hundred fifty-seven million, six hundred sixty-eight thousand, one hundred ninety".

Divisors: 1 2 5 7 10 14 31 35 62 70 155 217 310 434 1085 2170 210907 421814 1054535 1476349 2109070 2952698 6538117 7381745 13076234 14763490 32690585 45766819 65381170 91533638 228834095 457668190