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542525250 = 23531722503
BaseRepresentation
bin100000010101100…
…100011101000010
31101210212010201210
4200111210131002
52102341302000
6125500110550
716305250161
oct4025443502
91353763653
10542525250
11259272283
12131835456
1388524177
14520a53d8
1532968350
hex20564742

542525250 has 96 divisors (see below), whose sum is σ = 1439058816. Its totient is φ = 136108800.

The previous prime is 542525239. The next prime is 542525261. The reversal of 542525250 is 52525245.

It is an interprime number because it is at equal distance from previous prime (542525239) and next prime (542525261).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 215499 + ... + 218001.

It is an arithmetic number, because the mean of its divisors is an integer number (14990196).

Almost surely, 2542525250 is an apocalyptic number.

542525250 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 542525250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719529408).

542525250 is an abundant number, since it is smaller than the sum of its proper divisors (896533566).

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

542525250 is a wasteful number, since it uses less digits than its factorization.

542525250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 30.

The square root of 542525250 is about 23292.1714316205. The cubic root of 542525250 is about 815.5926786564.

The spelling of 542525250 in words is "five hundred forty-two million, five hundred twenty-five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 125 150 170 250 255 289 375 425 510 578 750 850 867 1275 1445 1734 2125 2503 2550 2890 4250 4335 5006 6375 7225 7509 8670 12515 12750 14450 15018 21675 25030 36125 37545 42551 43350 62575 72250 75090 85102 108375 125150 127653 187725 212755 216750 255306 312875 375450 425510 625750 638265 723367 938625 1063775 1276530 1446734 1877250 2127550 2170101 3191325 3616835 4340202 5318875 6382650 7233670 10637750 10850505 15956625 18084175 21701010 31913250 36168350 54252525 90420875 108505050 180841750 271262625 542525250