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541074912 = 25371747363
BaseRepresentation
bin100000010000000…
…010010111100000
31101201010110020120
4200100002113200
52102003344122
6125405040240
716260026610
oct4020022740
91351113216
10541074912
11258471654
12131256080
1388136c91
1451c08a40
153277d75c
hex204025e0

541074912 has 96 divisors (see below), whose sum is σ = 1718744832. Its totient is φ = 145496064.

The previous prime is 541074907. The next prime is 541074917. The reversal of 541074912 is 219470145.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (541074907) and next prime (541074917).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541074917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12258 + ... + 35105.

It is an arithmetic number, because the mean of its divisors is an integer number (17903592).

Almost surely, 2541074912 is an apocalyptic number.

It is an amenable number.

541074912 is an abundant number, since it is smaller than the sum of its proper divisors (1177669920).

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

541074912 is a wasteful number, since it uses less digits than its factorization.

541074912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47400 (or 47392 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 541074912 is about 23261.0170027022. The cubic root of 541074912 is about 814.8652527929.

The spelling of 541074912 in words is "five hundred forty-one million, seventy-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5712 11424 47363 94726 142089 189452 284178 331541 378904 568356 663082 757808 805171 994623 1136712 1326164 1515616 1610342 1989246 2273424 2415513 2652328 3220684 3978492 4546848 4831026 5304656 5636197 6441368 7956984 9662052 10609312 11272394 12882736 15913968 16908591 19324104 22544788 25765472 31827936 33817182 38648208 45089576 67634364 77296416 90179152 135268728 180358304 270537456 541074912