Search a number
-
+
545785344 = 2933133037
BaseRepresentation
bin100000100010000…
…000011000000000
31102000222202202000
4200202000120000
52104210112334
6130054024000
716345045626
oct4042003000
91360882660
10545785344
11260099675
12132948000
13890c6010
14526b3516
1532dae299
hex20880600

545785344 has 160 divisors (see below), whose sum is σ = 1740409440. Its totient is φ = 167878656.

The previous prime is 545785337. The next prime is 545785363. The reversal of 545785344 is 443587545.

545785344 is a `hidden beast` number, since 5 + 45 + 78 + 534 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 545785344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178194 + ... + 181230.

It is an arithmetic number, because the mean of its divisors is an integer number (10877559).

Almost surely, 2545785344 is an apocalyptic number.

545785344 is a gapful number since it is divisible by the number (54) 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 545785344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870204720).

545785344 is an abundant number, since it is smaller than the sum of its proper divisors (1194624096).

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

545785344 is a wasteful number, since it uses less digits than its factorization.

545785344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077 (or 3055 counting only the distinct ones).

The product of its digits is 1344000, while the sum is 45.

The square root of 545785344 is about 23362.0492251857. The cubic root of 545785344 is about 817.2230793398.

The spelling of 545785344 in words is "five hundred forty-five million, seven hundred eighty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 512 576 624 702 768 832 864 936 1152 1248 1404 1536 1664 1728 1872 2304 2496 2808 3037 3328 3456 3744 4608 4992 5616 6074 6656 6912 7488 9111 9984 11232 12148 13824 14976 18222 19968 22464 24296 27333 29952 36444 39481 44928 48592 54666 59904 72888 78962 81999 89856 97184 109332 118443 145776 157924 163998 179712 194368 218664 236886 291552 315848 327996 355329 388736 437328 473772 583104 631696 655992 710658 777472 874656 947544 1065987 1166208 1263392 1311984 1421316 1554944 1749312 1895088 2131974 2332416 2526784 2623968 2842632 3498624 3790176 4263948 4664832 5053568 5247936 5685264 6997248 7580352 8527896 10107136 10495872 11370528 13994496 15160704 17055792 20214272 20991744 22741056 30321408 34111584 41983488 45482112 60642816 68223168 90964224 136446336 181928448 272892672 545785344