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642466464 = 25329230771
BaseRepresentation
bin100110010010110…
…100001010100000
31122202220200022020
4212102310022200
52303432411324
6143430141440
721630606033
oct4622641240
91582820266
10642466464
112aa723622
1215b1b1880
13a3146c93
146147d01a
153b60a679
hex264b42a0

642466464 has 48 divisors (see below), whose sum is σ = 1744636320. Its totient is φ = 206769920.

The previous prime is 642466463. The next prime is 642466469. The reversal of 642466464 is 464664246.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (642466463) 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, 112602 + ... + 118169.

It is an arithmetic number, because the mean of its divisors is an integer number (36346590).

Almost surely, 2642466464 is an apocalyptic number.

It is an amenable number.

642466464 is an abundant number, since it is smaller than the sum of its proper divisors (1102169856).

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

642466464 is a wasteful number, since it uses less digits than its factorization.

642466464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230813 (or 230805 counting only the distinct ones).

The product of its digits is 663552, while the sum is 42.

The square root of 642466464 is about 25346.9221800202. The cubic root of 642466464 is about 862.8795060001.

The spelling of 642466464 in words is "six hundred forty-two million, four hundred sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 230771 461542 692313 923084 1384626 1846168 2769252 3692336 5538504 6692359 7384672 11077008 13384718 20077077 22154016 26769436 40154154 53538872 80308308 107077744 160616616 214155488 321233232 642466464