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542213056 = 26711472341
BaseRepresentation
bin100000010100011…
…000001111000000
31101210021021111001
4200110120033000
52102301304211
6125445301344
716302510040
oct4024301700
91353237431
10542213056
11259079770
12131704854
1388445038
1452023720
1532905ac1
hex205183c0

542213056 has 112 divisors (see below), whose sum is σ = 1370575872. Its totient is φ = 206668800.

The previous prime is 542213047. The next prime is 542213081. The reversal of 542213056 is 650312245.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230446 + ... + 232786.

Almost surely, 2542213056 is an apocalyptic number.

542213056 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 542213056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685287936).

542213056 is an abundant number, since it is smaller than the sum of its proper divisors (828362816).

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

542213056 is a wasteful number, since it uses less digits than its factorization.

542213056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 542213056 is about 23285.4687734647. The cubic root of 542213056 is about 815.4362054495.

The spelling of 542213056 in words is "five hundred forty-two million, two hundred thirteen thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 47 56 64 77 88 94 112 154 176 188 224 308 329 352 376 448 517 616 658 704 752 1034 1232 1316 1504 2068 2341 2464 2632 3008 3619 4136 4682 4928 5264 7238 8272 9364 10528 14476 16387 16544 18728 21056 25751 28952 32774 33088 37456 51502 57904 65548 74912 103004 110027 115808 131096 149824 180257 206008 220054 231616 262192 360514 412016 440108 524384 721028 770189 824032 880216 1048768 1210297 1442056 1540378 1648064 1760432 2420594 2884112 3080756 3520864 4841188 5768224 6161512 7041728 8472079 9682376 11536448 12323024 16944158 19364752 24646048 33888316 38729504 49292096 67776632 77459008 135553264 271106528 542213056