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455069104 = 2477189643
BaseRepresentation
bin11011000111111…
…100110110110000
31011201021220110021
4123013330312300
51412444202404
6113053413224
714164011040
oct3307746660
91151256407
10455069104
11213969176
1210849a214
1373383079
144461b720
1529e40454
hex1b1fcdb0

455069104 has 80 divisors (see below), whose sum is σ = 1034933760. Its totient is φ = 189826560.

The previous prime is 455069101. The next prime is 455069113. The reversal of 455069104 is 401960554.

It is a self number, because there is not a number n which added to its sum of digits gives 455069104.

It is not an unprimeable number, because it can be changed into a prime (455069101) 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 15 ways as a sum of consecutive naturals, for example, 707407 + ... + 708049.

It is an arithmetic number, because the mean of its divisors is an integer number (12936672).

Almost surely, 2455069104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455069104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517466880).

455069104 is an abundant number, since it is smaller than the sum of its proper divisors (579864656).

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

455069104 is a wasteful number, since it uses less digits than its factorization.

455069104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 455069104 is about 21332.3487689471. The cubic root of 455069104 is about 769.1761041892.

The spelling of 455069104 in words is "four hundred fifty-five million, sixty-nine thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 71 89 112 142 178 284 356 497 568 623 643 712 994 1136 1246 1286 1424 1988 2492 2572 3976 4501 4984 5144 6319 7952 9002 9968 10288 12638 18004 25276 36008 44233 45653 50552 57227 72016 88466 91306 101104 114454 176932 182612 228908 319571 353864 365224 400589 457816 639142 707728 730448 801178 915632 1278284 1602356 2556568 3204712 4063117 5113136 6409424 8126234 16252468 28441819 32504936 56883638 65009872 113767276 227534552 455069104