Search a number
-
+
424095168 = 2637315547
BaseRepresentation
bin11001010001110…
…010110111000000
31002120000021012110
4121101302313000
51332032021133
6110025455320
713336515030
oct3121626700
91076007173
10424095168
111a8432a82
12ba041540
1369b299b3
14404778c0
1527372c63
hex19472dc0

424095168 has 56 divisors (see below), whose sum is σ = 1282387072. Its totient is φ = 121169664.

The previous prime is 424095163. The next prime is 424095169. The reversal of 424095168 is 861590424.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424095163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156430 + ... + 159117.

Almost surely, 2424095168 is an apocalyptic number.

424095168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

424095168 is an abundant number, since it is smaller than the sum of its proper divisors (858291904).

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

424095168 is a wasteful number, since it uses less digits than its factorization.

424095168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315569 (or 315559 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 424095168 is about 20593.5710356412. The cubic root of 424095168 is about 751.3133539040.

The spelling of 424095168 in words is "four hundred twenty-four million, ninety-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 315547 631094 946641 1262188 1893282 2208829 2524376 3786564 4417658 5048752 6626487 7573128 8835316 10097504 13252974 15146256 17670632 20195008 26505948 30292512 35341264 53011896 60585024 70682528 106023792 141365056 212047584 424095168