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542429856 = 25326728111
BaseRepresentation
bin100000010101001…
…101001010100000
31101210200021212200
4200111031022200
52102330223411
6125454053200
716304402103
oct4025151240
91353607780
10542429856
11259207641
121317aa200
13884bc917
145207c73a
1532949e56
hex2054d2a0

542429856 has 72 divisors (see below), whose sum is σ = 1565613504. Its totient is φ = 178104960.

The previous prime is 542429851. The next prime is 542429857. The reversal of 542429856 is 658924245.

542429856 is a `hidden beast` number, since 542 + 4 + 29 + 85 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (542429851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5241 + ... + 33351.

It is an arithmetic number, because the mean of its divisors is an integer number (21744632).

Almost surely, 2542429856 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 542429856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782806752).

542429856 is an abundant number, since it is smaller than the sum of its proper divisors (1023183648).

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

542429856 is a wasteful number, since it uses less digits than its factorization.

542429856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28194 (or 28183 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 542429856 is about 23290.1235720208. The cubic root of 542429856 is about 815.5448730728.

It can be divided in two parts, 54 and 2429856, that added together give a triangular number (2429910 = T2204).

The spelling of 542429856 in words is "five hundred forty-two million, four hundred twenty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 536 603 804 1072 1206 1608 2144 2412 3216 4824 6432 9648 19296 28111 56222 84333 112444 168666 224888 252999 337332 449776 505998 674664 899552 1011996 1349328 1883437 2023992 2698656 3766874 4047984 5650311 7533748 8095968 11300622 15067496 16950933 22601244 30134992 33901866 45202488 60269984 67803732 90404976 135607464 180809952 271214928 542429856