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542332125 = 33533743101
BaseRepresentation
bin100000010100110…
…101010011011101
31101210111022211000
4200110311103131
52102314112000
6125452020513
716303514136
oct4024652335
91353438730
10542332125
11259150175
12131761739
13884872aa
1452054c8d
153292b000
hex205354dd

542332125 has 128 divisors (see below), whose sum is σ = 1064194560. Its totient is φ = 272160000.

The previous prime is 542332081. The next prime is 542332127. The reversal of 542332125 is 521233245.

It is a happy number.

It is not a de Polignac number, because 542332125 - 26 = 542332061 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (542332127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5369575 + ... + 5369675.

It is an arithmetic number, because the mean of its divisors is an integer number (8314020).

Almost surely, 2542332125 is an apocalyptic number.

It is an amenable number.

542332125 is a deficient number, since it is larger than the sum of its proper divisors (521862435).

542332125 is a wasteful number, since it uses less digits than its factorization.

542332125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 189 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 542332125 is about 23288.0253563929. The cubic root of 542332125 is about 815.4958905162.

The spelling of 542332125 in words is "five hundred forty-two million, three hundred thirty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 37 43 45 75 101 111 125 129 135 185 215 225 303 333 375 387 505 555 645 675 909 925 999 1075 1125 1161 1515 1591 1665 1935 2525 2727 2775 3225 3375 3737 4343 4545 4625 4773 4995 5375 5805 7575 7955 8325 9675 11211 12625 13029 13635 13875 14319 16125 18685 21715 22725 23865 24975 29025 33633 37875 39087 39775 41625 42957 48375 56055 65145 68175 71595 93425 100899 108575 113625 117261 119325 124875 145125 160691 168165 195435 198875 214785 280275 325725 340875 357975 467125 482073 504495 542875 586305 596625 803455 840825 977175 1073925 1401375 1446219 1628625 1789875 2410365 2522475 2931525 4017275 4204125 4338657 4885875 5369625 7231095 12051825 12612375 14657625 20086375 21693285 36155475 60259125 108466425 180777375 542332125