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54041024 = 264373269
BaseRepresentation
bin1100111000100…
…1100111000000
310202200120100102
43032021213000
5102313303044
65210141532
71224225002
oct316114700
9122616312
1054041024
1128560904
12161218a8
13b27184b
14726a372
154b2724e
hex33899c0

54041024 has 56 divisors (see below), whose sum is σ = 111648240. Its totient is φ = 25933824.

The previous prime is 54041021. The next prime is 54041027. The reversal of 54041024 is 42014045.

It is an interprime number because it is at equal distance from previous prime (54041021) and next prime (54041027).

It is a cake number, because a cake can be divided into 54041024 parts by 687 planar cuts.

It is a junction number, because it is equal to n+sod(n) for n = 54040987 and 54041005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54041021) 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 7 ways as a sum of consecutive naturals, for example, 200762 + ... + 201030.

Almost surely, 254041024 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 54041024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55824120).

54041024 is an abundant number, since it is smaller than the sum of its proper divisors (57607216).

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

54041024 is a wasteful number, since it uses less digits than its factorization.

54041024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 54041024 is about 7351.2600280496. The cubic root of 54041024 is about 378.0720074087.

Adding to 54041024 its reverse (42014045), we get a palindrome (96055069).

The spelling of 54041024 in words is "fifty-four million, forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 43 64 73 86 146 172 269 292 344 538 584 688 1076 1168 1376 2152 2336 2752 3139 4304 4672 6278 8608 11567 12556 17216 19637 23134 25112 39274 46268 50224 78548 92536 100448 157096 185072 200896 314192 370144 628384 740288 844391 1256768 1688782 3377564 6755128 13510256 27020512 54041024