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542668672 = 2771346589
BaseRepresentation
bin100000010110000…
…111011110000000
31101211010102110201
4200112013132000
52102410344142
6125503134544
716306415260
oct4026073600
91354112421
10542668672
11259360007
121318a4454
1388574530
14521017a0
1532995ab7
hex20587780

542668672 has 64 divisors (see below), whose sum is σ = 1330610400. Its totient is φ = 214677504.

The previous prime is 542668663. The next prime is 542668673. The reversal of 542668672 is 276866245.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542668673) 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, 11647 + ... + 34942.

Almost surely, 2542668672 is an apocalyptic number.

542668672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

542668672 is the 11648-th decagonal number.

It is an amenable number.

542668672 is an abundant number, since it is smaller than the sum of its proper divisors (787941728).

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

542668672 is a wasteful number, since it uses less digits than its factorization.

542668672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46623 (or 46611 counting only the distinct ones).

The product of its digits is 967680, while the sum is 46.

The square root of 542668672 is about 23295.2499879267. The cubic root of 542668672 is about 815.6645423634.

The spelling of 542668672 in words is "five hundred forty-two million, six hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 728 832 896 1456 1664 2912 5824 11648 46589 93178 186356 326123 372712 605657 652246 745424 1211314 1304492 1490848 2422628 2608984 2981696 4239599 4845256 5217968 5963392 8479198 9690512 10435936 16958396 19381024 20871872 33916792 38762048 41743744 67833584 77524096 135667168 271334336 542668672