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54002312 = 23721310597
BaseRepresentation
bin1100111000000…
…0001010001000
310202121121020122
43032000022020
5102311033222
65205242412
71224004100
oct316001210
9122547218
1054002312
1128534811
1216103408
13b25a040
14725a200
154b1aa42
hex3380288

54002312 has 48 divisors (see below), whose sum is σ = 126858060. Its totient is φ = 21361536.

The previous prime is 54002303. The next prime is 54002317. The reversal of 54002312 is 21320045.

It can be written as a sum of positive squares in 2 ways, for example, as 41654116 + 12348196 = 6454^2 + 3514^2 .

It is not an unprimeable number, because it can be changed into a prime (54002317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203 + ... + 10394.

Almost surely, 254002312 is an apocalyptic number.

54002312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54002312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63429030).

54002312 is an abundant number, since it is smaller than the sum of its proper divisors (72855748).

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

54002312 is a wasteful number, since it uses less digits than its factorization.

54002312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10630 (or 10619 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 54002312 is about 7348.6265383403. The cubic root of 54002312 is about 377.9817092201.

Adding to 54002312 its reverse (21320045), we get a palindrome (75322357).

The spelling of 54002312 in words is "fifty-four million, two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 2548 5096 10597 21194 42388 74179 84776 137761 148358 275522 296716 519253 551044 593432 964327 1038506 1102088 1928654 2077012 3857308 4154024 6750289 7714616 13500578 27001156 54002312