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54301312 = 271332633
BaseRepresentation
bin1100111100100…
…1001010000000
310210011210101201
43033021022000
5102400120222
65215510544
71226360602
oct317111200
9123153351
1054301312
112871941a
1216228454
13b333170
1472d7172
154b79427
hex33c9280

54301312 has 32 divisors (see below), whose sum is σ = 116503380. Its totient is φ = 25061376.

The previous prime is 54301307. The next prime is 54301319. The reversal of 54301312 is 21310345.

It can be written as a sum of positive squares in 2 ways, for example, as 53816896 + 484416 = 7336^2 + 696^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 54301312.

It is not an unprimeable number, because it can be changed into a prime (54301319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14653 + ... + 17980.

Almost surely, 254301312 is an apocalyptic number.

54301312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

54301312 is an abundant number, since it is smaller than the sum of its proper divisors (62202068).

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

54301312 is a wasteful number, since it uses less digits than its factorization.

54301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32660 (or 32648 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 54301312 is about 7368.9423935867. The cubic root of 54301312 is about 378.6780287097.

Adding to 54301312 its reverse (21310345), we get a palindrome (75611657).

It can be divided in two parts, 543013 and 12, that multiplied together give a palindrome (6516156).

The spelling of 54301312 in words is "fifty-four million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 32633 65266 130532 261064 424229 522128 848458 1044256 1696916 2088512 3393832 4177024 6787664 13575328 27150656 54301312