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54351104 = 28297321
BaseRepresentation
bin1100111101010…
…1010100000000
310210021022200212
43033111110000
5102403213404
65220533252
71226656013
oct317252400
9123238625
1054351104
1128752875
1216251228
13b34ca22
14730b37a
154b8906e
hex33d5500

54351104 has 36 divisors (see below), whose sum is σ = 112246260. Its totient is φ = 26234880.

The previous prime is 54351083. The next prime is 54351109. The reversal of 54351104 is 40115345.

It can be written as a sum of positive squares in 2 ways, for example, as 8761600 + 45589504 = 2960^2 + 6752^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 54351104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54351109) 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 3 ways as a sum of consecutive naturals, for example, 3764 + ... + 11084.

Almost surely, 254351104 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 54351104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56123130).

54351104 is an abundant number, since it is smaller than the sum of its proper divisors (57895156).

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

54351104 is an equidigital number, since it uses as much as digits as its factorization.

54351104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7366 (or 7352 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 54351104 is about 7372.3201232719. The cubic root of 54351104 is about 378.7937372474.

Adding to 54351104 its reverse (40115345), we get a palindrome (94466449).

The spelling of 54351104 in words is "fifty-four million, three hundred fifty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1856 3712 7321 7424 14642 29284 58568 117136 212309 234272 424618 468544 849236 937088 1698472 1874176 3396944 6793888 13587776 27175552 54351104