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455016690 = 2345619209
BaseRepresentation
bin11011000111110…
…000000011110010
31011201012020120000
4123013300003302
51412441013230
6113052330430
714163402162
oct3307600362
91151166500
10455016690
11213932857
12108473a16
137336525b
14446065a2
1529e2eb60
hex1b1f00f2

455016690 has 80 divisors (see below), whose sum is σ = 1243681560. Its totient is φ = 119335680.

The previous prime is 455016677. The next prime is 455016691. The reversal of 455016690 is 96610554.

455016690 is a `hidden beast` number, since 4 + 5 + 501 + 66 + 90 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 150479289 + 304537401 = 12267^2 + 17451^2 .

It is a super-2 number, since 2×4550166902 = 414080376357112200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (455016691) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44806 + ... + 54014.

Almost surely, 2455016690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455016690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621840780).

455016690 is an abundant number, since it is smaller than the sum of its proper divisors (788664870).

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

455016690 is a wasteful number, since it uses less digits than its factorization.

455016690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9289 (or 9280 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 455016690 is about 21331.1202237482. The cubic root of 455016690 is about 769.1465723050.

The spelling of 455016690 in words is "four hundred fifty-five million, sixteen thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 81 90 122 135 162 183 270 305 366 405 549 610 810 915 1098 1647 1830 2745 3294 4941 5490 8235 9209 9882 16470 18418 24705 27627 46045 49410 55254 82881 92090 138135 165762 248643 276270 414405 497286 561749 745929 828810 1123498 1243215 1491858 1685247 2486430 2808745 3370494 3729645 5055741 5617490 7459290 8426235 10111482 15167223 16852470 25278705 30334446 45501669 50557410 75836115 91003338 151672230 227508345 455016690