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54214350 = 23523189131
BaseRepresentation
bin1100111011001…
…1111011001110
310210000101002220
43032303323032
5102334324400
65214000210
71225546221
oct316637316
9123011086
1054214350
112866a053
12161a6066
13b3026c8
1472b35b8
154b5d7a0
hex33b3ece

54214350 has 96 divisors (see below), whose sum is σ = 141419520. Its totient is φ = 13728000.

The previous prime is 54214339. The next prime is 54214397. The reversal of 54214350 is 5341245.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 54214350.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 413785 + ... + 413915.

It is an arithmetic number, because the mean of its divisors is an integer number (1473120).

Almost surely, 254214350 is an apocalyptic number.

54214350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54214350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70709760).

54214350 is an abundant number, since it is smaller than the sum of its proper divisors (87205170).

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

54214350 is a wasteful number, since it uses less digits than its factorization.

54214350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 54214350 is about 7363.0394539212. The cubic root of 54214350 is about 378.4757733540.

Adding to 54214350 its reverse (5341245), we get a palindrome (59555595).

The spelling of 54214350 in words is "fifty-four million, two hundred fourteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 89 93 131 150 155 178 186 262 267 310 393 445 465 534 655 775 786 890 930 1310 1335 1550 1965 2225 2325 2670 2759 3275 3930 4061 4450 4650 5518 6550 6675 8122 8277 9825 11659 12183 13350 13795 16554 19650 20305 23318 24366 27590 34977 40610 41385 58295 60915 68975 69954 82770 101525 116590 121830 137950 174885 203050 206925 291475 304575 349770 361429 413850 582950 609150 722858 874425 1084287 1748850 1807145 2168574 3614290 5421435 9035725 10842870 18071450 27107175 54214350