Search a number
-
+
455141568 = 2637734639
BaseRepresentation
bin11011001000001…
…110100011000000
31011201102120212010
4123020032203000
51413004012233
6113055132520
714164432230
oct3310164300
91151376763
10455141568
11213a08662
12108514140
13733aa04b
1444639cc0
1529e56b63
hex1b20e8c0

455141568 has 112 divisors (see below), whose sum is σ = 1395415040. Its totient is φ = 128231424.

The previous prime is 455141543. The next prime is 455141569. The reversal of 455141568 is 865141554.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (455141569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95793 + ... + 100431.

Almost surely, 2455141568 is an apocalyptic number.

455141568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455141568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697707520).

455141568 is an abundant number, since it is smaller than the sum of its proper divisors (940273472).

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

455141568 is a wasteful number, since it uses less digits than its factorization.

455141568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4734 (or 4724 counting only the distinct ones).

The product of its digits is 96000, while the sum is 39.

The square root of 455141568 is about 21334.0471547243. The cubic root of 455141568 is about 769.2169292115.

The spelling of 455141568 in words is "four hundred fifty-five million, one hundred forty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 73 84 96 112 146 168 192 219 224 292 336 438 448 511 584 672 876 1022 1168 1344 1533 1752 2044 2336 3066 3504 4088 4639 4672 6132 7008 8176 9278 12264 13917 14016 16352 18556 24528 27834 32473 32704 37112 49056 55668 64946 74224 97419 98112 111336 129892 148448 194838 222672 259784 296896 338647 389676 445344 519568 677294 779352 890688 1015941 1039136 1354588 1558704 2031882 2078272 2370529 2709176 3117408 4063764 4741058 5418352 6234816 7111587 8127528 9482116 10836704 14223174 16255056 18964232 21673408 28446348 32510112 37928464 56892696 65020224 75856928 113785392 151713856 227570784 455141568