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642401468 = 223171131557
BaseRepresentation
bin100110010010100…
…100010010111100
31122202210101010222
4212102210102330
52303423321333
6143424520512
721630215402
oct4622442274
91582711128
10642401468
112aa689805
1215b180138
13a3123517
1461463472
153b5e6298
hex264a44bc

642401468 has 48 divisors (see below), whose sum is σ = 1187923968. Its totient is φ = 303576000.

The previous prime is 642401449. The next prime is 642401471. The reversal of 642401468 is 864104246.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1153046 + ... + 1153602.

It is an arithmetic number, because the mean of its divisors is an integer number (24748416).

Almost surely, 2642401468 is an apocalyptic number.

It is an amenable number.

642401468 is a deficient number, since it is larger than the sum of its proper divisors (545522500).

642401468 is a wasteful number, since it uses less digits than its factorization.

642401468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 642401468 is about 25345.6400195379. The cubic root of 642401468 is about 862.8504068897.

The spelling of 642401468 in words is "six hundred forty-two million, four hundred one thousand, four hundred sixty-eight".

Divisors: 1 2 4 31 62 71 124 131 142 262 284 524 557 1114 2201 2228 4061 4402 8122 8804 9301 16244 17267 18602 34534 37204 39547 69068 72967 79094 145934 158188 288331 291868 576662 1153324 1225957 2261977 2451914 4523954 4903828 5180657 9047908 10361314 20722628 160600367 321200734 642401468