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542414208 = 2737201791
BaseRepresentation
bin100000010101001…
…001010110000000
31101210122111102010
4200111021112000
52102324223313
6125453452520
716304305350
oct4025112600
91353574363
10542414208
112591a6906
121317a1140
13884b576b
1452076b60
15329454c3
hex20549580

542414208 has 64 divisors (see below), whose sum is σ = 1646622720. Its totient is φ = 154974720.

The previous prime is 542414183. The next prime is 542414219. The reversal of 542414208 is 802414245.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98208 + ... + 103583.

It is an arithmetic number, because the mean of its divisors is an integer number (25728480).

Almost surely, 2542414208 is an apocalyptic number.

It is an amenable number.

542414208 is an abundant number, since it is smaller than the sum of its proper divisors (1104208512).

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

542414208 is a wasteful number, since it uses less digits than its factorization.

542414208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201815 (or 201803 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 542414208 is about 23289.7876332095. The cubic root of 542414208 is about 815.5370307261.

The spelling of 542414208 in words is "five hundred forty-two million, four hundred fourteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 201791 403582 605373 807164 1210746 1412537 1614328 2421492 2825074 3228656 4237611 4842984 5650148 6457312 8475222 9685968 11300296 12914624 16950444 19371936 22600592 25829248 33900888 38743872 45201184 67801776 77487744 90402368 135603552 180804736 271207104 542414208