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468896616 = 23326512453
BaseRepresentation
bin11011111100101…
…100101101101000
31012200022102020100
4123330230231220
51430014142431
6114310025400
714422361346
oct3374545550
91180272210
10468896616
11220752a71
12111048260
13761b4b26
14463ba996
152b2724e6
hex1bf2cb68

468896616 has 24 divisors (see below), whose sum is σ = 1269928530. Its totient is φ = 156298848.

The previous prime is 468896599. The next prime is 468896629. The reversal of 468896616 is 616698864.

It can be written as a sum of positive squares in only one way, i.e., 468895716 + 900 = 21654^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 3256155 + ... + 3256298.

Almost surely, 2468896616 is an apocalyptic number.

It is an amenable number.

468896616 is an abundant number, since it is smaller than the sum of its proper divisors (801031914).

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

468896616 is a wasteful number, since it uses less digits than its factorization.

468896616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6512465 (or 6512458 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 468896616 is about 21654.0207813699. The cubic root of 468896616 is about 776.8891082683.

The spelling of 468896616 in words is "four hundred sixty-eight million, eight hundred ninety-six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 6512453 13024906 19537359 26049812 39074718 52099624 58612077 78149436 117224154 156298872 234448308 468896616