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542862656 = 2671976151
BaseRepresentation
bin100000010110110…
…110110101000000
31101211111021120022
4200112312311000
52102433101111
6125511233012
716311153650
oct4026666500
91354437508
10542862656
11259482826
12131978768
138861190b
1452152360
15329d32db
hex205b6d40

542862656 has 56 divisors (see below), whose sum is σ = 1237585536. Its totient is φ = 231436800.

The previous prime is 542862601. The next prime is 542862679. The reversal of 542862656 is 656268245.

It is a tau number, because it is divible by the number of its divisors (56).

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, 85181 + ... + 91331.

Almost surely, 2542862656 is an apocalyptic number.

542862656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542862656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618792768).

542862656 is an abundant number, since it is smaller than the sum of its proper divisors (694722880).

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

542862656 is a wasteful number, since it uses less digits than its factorization.

542862656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6367 (or 6357 counting only the distinct ones).

The product of its digits is 691200, while the sum is 44.

The square root of 542862656 is about 23299.4132114953. The cubic root of 542862656 is about 815.7617207642.

The spelling of 542862656 in words is "five hundred forty-two million, eight hundred sixty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 197 224 394 448 788 1379 1576 2758 3152 5516 6151 6304 11032 12302 12608 22064 24604 43057 44128 49208 86114 88256 98416 172228 196832 344456 393664 688912 1211747 1377824 2423494 2755648 4846988 8482229 9693976 16964458 19387952 33928916 38775904 67857832 77551808 135715664 271431328 542862656