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541534448 = 2471323103157
BaseRepresentation
bin100000010001110…
…010100011110000
31101201222210121102
4200101302203300
52102113100243
6125422543532
716263652430
oct4021624360
91351883542
10541534448
11258755934
12131437ba8
13882681b0
1451cc82c0
153281e9b8
hex204728f0

541534448 has 160 divisors (see below), whose sum is σ = 1369245696. Its totient is φ = 201636864.

The previous prime is 541534421. The next prime is 541534451. The reversal of 541534448 is 844435145.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3449186 + ... + 3449342.

Almost surely, 2541534448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541534448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684622848).

541534448 is an abundant number, since it is smaller than the sum of its proper divisors (827711248).

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

541534448 is a wasteful number, since it uses less digits than its factorization.

541534448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its digits is 153600, while the sum is 38.

The square root of 541534448 is about 23270.8927203062. The cubic root of 541534448 is about 815.0958764093.

The spelling of 541534448 in words is "five hundred forty-one million, five hundred thirty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 46 52 56 91 92 103 104 112 157 161 182 184 206 208 299 314 322 364 368 412 598 628 644 721 728 824 1099 1196 1256 1288 1339 1442 1456 1648 2041 2093 2198 2369 2392 2512 2576 2678 2884 3611 4082 4186 4396 4738 4784 5356 5768 7222 8164 8372 8792 9373 9476 10712 11536 14287 14444 16171 16328 16583 16744 17584 18746 18952 21424 25277 28574 28888 30797 32342 32656 33166 33488 37492 37904 46943 50554 57148 57776 61594 64684 66332 74984 93886 101108 113197 114296 123188 129368 132664 149968 187772 202216 210223 215579 226394 228592 246376 258736 265328 328601 371933 375544 404432 420446 431158 452788 492752 657202 743866 751088 840892 862316 905576 1314404 1471561 1487732 1681784 1724632 1811152 2603531 2628808 2943122 2975464 3363568 3449264 4835129 5207062 5257616 5886244 5950928 9670258 10414124 11772488 19340516 20828248 23544976 33845903 38681032 41656496 67691806 77362064 135383612 270767224 541534448