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527242100 = 225271168473
BaseRepresentation
bin11111011011010…
…001001101110100
31100202002200012012
4133123101031310
52034433221400
6124152343352
716031324660
oct3733211564
91322080165
10527242100
11250683880
121286a4b58
1385302998
14500478a0
1531449d35
hex1f6d1374

527242100 has 72 divisors (see below), whose sum is σ = 1426450368. Its totient is φ = 164332800.

The previous prime is 527242091. The next prime is 527242123. The reversal of 527242100 is 1242725.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 26537 + ... + 41936.

Almost surely, 2527242100 is an apocalyptic number.

527242100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

527242100 is an abundant number, since it is smaller than the sum of its proper divisors (899208268).

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

527242100 is a wasteful number, since it uses less digits than its factorization.

527242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68505 (or 68498 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 527242100 is about 22961.7529818609. The cubic root of 527242100 is about 807.8610947213.

Adding to 527242100 its reverse (1242725), we get a palindrome (528484825).

The spelling of 527242100 in words is "five hundred twenty-seven million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 68473 136946 273892 342365 479311 684730 753203 958622 1369460 1506406 1711825 1917244 2396555 3012812 3423650 3766015 4793110 5272421 6847300 7532030 9586220 10544842 11982775 15064060 18830075 21089684 23965550 26362105 37660150 47931100 52724210 75320300 105448420 131810525 263621050 527242100