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468620976 = 24329336653
BaseRepresentation
bin11011111011101…
…001011010110000
31012122210102010110
4123323221122300
51424431332401
6114300101320
714420132625
oct3373513260
91178712113
10468620976
1122058496a
12110b34840
1376119525
144634834c
152b21a9d6
hex1bee96b0

468620976 has 40 divisors (see below), whose sum is σ = 1252352880. Its totient is φ = 150820096.

The previous prime is 468620953. The next prime is 468620987. The reversal of 468620976 is 679026864.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 166935 + ... + 169718.

It is an arithmetic number, because the mean of its divisors is an integer number (31308822).

Almost surely, 2468620976 is an apocalyptic number.

It is an amenable number.

468620976 is an abundant number, since it is smaller than the sum of its proper divisors (783731904).

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

468620976 is a wasteful number, since it uses less digits than its factorization.

468620976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336693 (or 336687 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 468620976 is about 21647.6552078972. The cubic root of 468620976 is about 776.7368474919.

The spelling of 468620976 in words is "four hundred sixty-eight million, six hundred twenty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 336653 673306 1009959 1346612 2019918 2693224 4039836 5386448 8079672 9762937 16159344 19525874 29288811 39051748 58577622 78103496 117155244 156206992 234310488 468620976