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54424656 = 24331113881
BaseRepresentation
bin1100111110011…
…1010001010000
310210102001121000
43033213101100
5102413042111
65222302000
71230413316
oct317472120
9123361530
1054424656
11287a3060
1216287900
13b377350
14732a0b6
154ba0c56
hex33e7450

54424656 has 160 divisors (see below), whose sum is σ = 183738240. Its totient is φ = 15206400.

The previous prime is 54424651. The next prime is 54424661. The reversal of 54424656 is 65642445.

54424656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54424651) and next prime (54424661).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 54424656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54424651) by changing a digit.

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, 61336 + ... + 62216.

It is an arithmetic number, because the mean of its divisors is an integer number (1148364).

Almost surely, 254424656 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 54424656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91869120).

54424656 is an abundant number, since it is smaller than the sum of its proper divisors (129313584).

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

54424656 is a wasteful number, since it uses less digits than its factorization.

54424656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 910 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 54424656 is about 7377.3068256648. The cubic root of 54424656 is about 378.9645309478.

It can be divided in two parts, 544 and 24656, that added together give a triangular number (25200 = T224).

The spelling of 54424656 in words is "fifty-four million, four hundred twenty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 33 36 39 44 48 52 54 66 72 78 88 99 104 108 117 132 143 144 156 176 198 208 216 234 264 286 297 312 351 396 429 432 468 528 572 594 624 702 792 858 881 936 1144 1188 1287 1404 1584 1716 1762 1872 2288 2376 2574 2643 2808 3432 3524 3861 4752 5148 5286 5616 6864 7048 7722 7929 9691 10296 10572 11453 14096 15444 15858 19382 20592 21144 22906 23787 29073 30888 31716 34359 38764 42288 45812 47574 58146 61776 63432 68718 77528 87219 91624 95148 103077 116292 125983 126864 137436 155056 174438 183248 190296 206154 232584 251966 261657 274872 309231 348876 377949 380592 412308 465168 503932 523314 549744 618462 697752 755898 824616 1007864 1046628 1133847 1236924 1395504 1511796 1649232 2015728 2093256 2267694 2473848 3023592 3401541 4186512 4535388 4947696 6047184 6803082 9070776 13606164 18141552 27212328 54424656