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542066496 = 26331611493
BaseRepresentation
bin100000010011110…
…100011101000000
31101202222211102220
4200103310131000
52102232111441
6125442211040
716301326536
oct4023643500
91352884386
10542066496
11258a89644
12131653a80
13883c340a
1451dc6156
15328c7466
hex204f4740

542066496 has 112 divisors (see below), whose sum is σ = 1505760768. Its totient is φ = 171878400.

The previous prime is 542066477. The next prime is 542066533. The reversal of 542066496 is 694660245.

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 15 ways as a sum of consecutive naturals, for example, 362326 + ... + 363818.

Almost surely, 2542066496 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 542066496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752880384).

542066496 is an abundant number, since it is smaller than the sum of its proper divisors (963694272).

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

542066496 is a wasteful number, since it uses less digits than its factorization.

542066496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 542066496 is about 23282.3215337303. The cubic root of 542066496 is about 815.3627281215.

The spelling of 542066496 in words is "five hundred forty-two million, sixty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 61 62 64 93 96 122 124 183 186 192 244 248 366 372 488 496 732 744 976 992 1464 1488 1493 1891 1952 1984 2928 2976 2986 3782 3904 4479 5673 5856 5952 5972 7564 8958 11346 11712 11944 15128 17916 22692 23888 30256 35832 45384 46283 47776 60512 71664 90768 91073 92566 95552 121024 138849 143328 181536 182146 185132 273219 277698 286656 363072 364292 370264 546438 555396 728584 740528 1092876 1110792 1457168 1481056 2185752 2221584 2823263 2914336 2962112 4371504 4443168 5646526 5828672 8469789 8743008 8886336 11293052 16939578 17486016 22586104 33879156 45172208 67758312 90344416 135516624 180688832 271033248 542066496