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542350350 = 233522317467
BaseRepresentation
bin100000010100111…
…001110000001110
31101210112020211000
4200110321300032
52102320202400
6125452241130
716303621233
oct4024716016
91353466730
10542350350
11259162933
121317701a6
1388492689
145205b78a
1532931600
hex20539c0e

542350350 has 96 divisors (see below), whose sum is σ = 1559543040. Its totient is φ = 138330720.

The previous prime is 542350331. The next prime is 542350351. The reversal of 542350350 is 53053245.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542350351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22317 + ... + 39783.

It is an arithmetic number, because the mean of its divisors is an integer number (16245240).

Almost surely, 2542350350 is an apocalyptic number.

542350350 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 542350350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779771520).

542350350 is an abundant number, since it is smaller than the sum of its proper divisors (1017192690).

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

542350350 is a wasteful number, since it uses less digits than its factorization.

542350350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17511 (or 17500 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 542350350 is about 23288.4166486260. The cubic root of 542350350 is about 815.5050252914.

The spelling of 542350350 in words is "five hundred forty-two million, three hundred fifty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 27 30 45 46 50 54 69 75 90 115 135 138 150 207 225 230 270 345 414 450 575 621 675 690 1035 1150 1242 1350 1725 2070 3105 3450 5175 6210 10350 15525 17467 31050 34934 52401 87335 104802 157203 174670 262005 314406 401741 436675 471609 524010 786015 803482 873350 943218 1205223 1310025 1572030 2008705 2358045 2410446 2620050 3615669 3930075 4017410 4716090 6026115 7231338 7860150 10043525 10847007 11790225 12052230 18078345 20087050 21694014 23580450 30130575 36156690 54235035 60261150 90391725 108470070 180783450 271175175 542350350