Search a number
-
+
245455168 = 2671733167
BaseRepresentation
bin11101010000101…
…01100101000000
3122002212102012011
432220111211000
51000314031133
640204542304
76040222510
oct1650254500
9562772164
10245455168
1111660a112
126a251994
133bb10b5a
1424855840
15168376cd
hexea15940

245455168 has 56 divisors (see below), whose sum is σ = 560051712. Its totient is φ = 104553984.

The previous prime is 245455139. The next prime is 245455169. The reversal of 245455168 is 861554542.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 245455168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245455169) 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 7 ways as a sum of consecutive naturals, for example, 75921 + ... + 79087.

Almost surely, 2245455168 is an apocalyptic number.

245455168 is a gapful number since it is divisible by the number (28) 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 245455168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280025856).

245455168 is an abundant number, since it is smaller than the sum of its proper divisors (314596544).

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

245455168 is a wasteful number, since it uses less digits than its factorization.

245455168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359 (or 3349 counting only the distinct ones).

The product of its digits is 192000, while the sum is 40.

The square root of 245455168 is about 15667.0089040633. The cubic root of 245455168 is about 626.1197360678.

The spelling of 245455168 in words is "two hundred forty-five million, four hundred fifty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 173 224 346 448 692 1211 1384 2422 2768 3167 4844 5536 6334 9688 11072 12668 19376 22169 25336 38752 44338 50672 77504 88676 101344 177352 202688 354704 547891 709408 1095782 1418816 2191564 3835237 4383128 7670474 8766256 15340948 17532512 30681896 35065024 61363792 122727584 245455168