Search a number
-
+
547855056 = 243371710657
BaseRepresentation
bin100000101001111…
…001101011010000
31102011212220212000
4200221321223100
52110222330211
6130210234000
716401456030
oct4051715320
91364786760
10547855056
11261282681
12133585900
138966c0b8
1452a918c0
153316c656
hex20a79ad0

547855056 has 160 divisors (see below), whose sum is σ = 1903092480. Its totient is φ = 147308544.

The previous prime is 547855019. The next prime is 547855067. The reversal of 547855056 is 650558745.

547855056 is a `hidden beast` number, since 5 + 47 + 8 + 550 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46080 + ... + 56736.

It is an arithmetic number, because the mean of its divisors is an integer number (11894328).

Almost surely, 2547855056 is an apocalyptic number.

547855056 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 547855056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951546240).

547855056 is an abundant number, since it is smaller than the sum of its proper divisors (1355237424).

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

547855056 is a wasteful number, since it uses less digits than its factorization.

547855056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10698 (or 10686 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The square root of 547855056 is about 23406.3037662934. The cubic root of 547855056 is about 818.2547931678.

The spelling of 547855056 in words is "five hundred forty-seven million, eight hundred fifty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 84 102 108 112 119 126 136 144 153 168 189 204 216 238 252 272 306 336 357 378 408 432 459 476 504 612 714 756 816 918 952 1008 1071 1224 1428 1512 1836 1904 2142 2448 2856 3024 3213 3672 4284 5712 6426 7344 8568 10657 12852 17136 21314 25704 31971 42628 51408 63942 74599 85256 95913 127884 149198 170512 181169 191826 223797 255768 287739 298396 362338 383652 447594 511536 543507 575478 596792 671391 724676 767304 895188 1087014 1150956 1193584 1268183 1342782 1449352 1534608 1630521 1790376 2014173 2174028 2301912 2536366 2685564 2898704 3261042 3580752 3804549 4028346 4348056 4603824 4891563 5072732 5371128 6522084 7609098 8056692 8696112 9783126 10145464 10742256 11413647 13044168 15218196 16113384 19566252 20290928 22827294 26088336 30436392 32226768 34240941 39132504 45654588 60872784 68481882 78265008 91309176 136963764 182618352 273927528 547855056