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424875168 = 25321475261
BaseRepresentation
bin11001010100110…
…001010010100000
31002121110220011100
4121110301102200
51332232001133
6110054314400
713346244054
oct3124612240
91077426140
10424875168
111a8916003
12ba358a00
136a040a33
14405dbc64
1527478e13
hex195314a0

424875168 has 36 divisors (see below), whose sum is σ = 1208239578. Its totient is φ = 141624960.

The previous prime is 424875167. The next prime is 424875179. The reversal of 424875168 is 861578424.

424875168 is a `hidden beast` number, since 4 + 2 + 487 + 5 + 168 = 666.

It can be written as a sum of positive squares in only one way, i.e., 416649744 + 8225424 = 20412^2 + 2868^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (424875161) 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 5 ways as a sum of consecutive naturals, for example, 737343 + ... + 737918.

Almost surely, 2424875168 is an apocalyptic number.

424875168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

424875168 is an abundant number, since it is smaller than the sum of its proper divisors (783364410).

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

424875168 is a wasteful number, since it uses less digits than its factorization.

424875168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475277 (or 1475266 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 424875168 is about 20612.5002850212. The cubic root of 424875168 is about 751.7736794417.

The spelling of 424875168 in words is "four hundred twenty-four million, eight hundred seventy-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1475261 2950522 4425783 5901044 8851566 11802088 13277349 17703132 23604176 26554698 35406264 47208352 53109396 70812528 106218792 141625056 212437584 424875168