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54643424 = 25112953101
BaseRepresentation
bin1101000001110…
…0101011100000
310210211011200112
43100130223200
5102442042144
65231110452
71232314163
oct320345340
9123734615
1054643424
1128932460
1216372428
13b422ab4
147385ada
154be599e
hex341cae0

54643424 has 96 divisors (see below), whose sum is σ = 124921440. Its totient is φ = 23296000.

The previous prime is 54643417. The next prime is 54643429. The reversal of 54643424 is 42434645.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54643429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540974 + ... + 541074.

It is an arithmetic number, because the mean of its divisors is an integer number (1301265).

Almost surely, 254643424 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 54643424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62460720).

54643424 is an abundant number, since it is smaller than the sum of its proper divisors (70278016).

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

54643424 is a wasteful number, since it uses less digits than its factorization.

54643424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 196 counting only the distinct ones).

The product of its digits is 46080, while the sum is 32.

The square root of 54643424 is about 7392.1190466604. The cubic root of 54643424 is about 379.4716202133.

It can be divided in two parts, 5464 and 3424, that added together give a palindrome (8888).

The spelling of 54643424 in words is "fifty-four million, six hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 53 58 88 101 106 116 176 202 212 232 319 352 404 424 464 583 638 808 848 928 1111 1166 1276 1537 1616 1696 2222 2332 2552 2929 3074 3232 4444 4664 5104 5353 5858 6148 8888 9328 10208 10706 11716 12296 16907 17776 18656 21412 23432 24592 32219 33814 35552 42824 46864 49184 58883 64438 67628 85648 93728 117766 128876 135256 155237 171296 235532 257752 270512 310474 471064 515504 541024 620948 942128 1031008 1241896 1707607 1884256 2483792 3415214 4967584 6830428 13660856 27321712 54643424