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542210382 = 23372204917
BaseRepresentation
bin100000010100010…
…111100101001110
31101210021010211000
4200110113211032
52102301213012
6125445241130
716302466200
oct4024274516
91353233730
10542210382
1125907775a
121317031a6
1388443a5c
1452022770
1532904ddc
hex2051794e

542210382 has 48 divisors (see below), whose sum is σ = 1401639120. Its totient is φ = 154916496.

The previous prime is 542210381. The next prime is 542210387. The reversal of 542210382 is 283012245.

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 (542210381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99813 + ... + 105104.

It is an arithmetic number, because the mean of its divisors is an integer number (29200815).

Almost surely, 2542210382 is an apocalyptic number.

542210382 is an abundant number, since it is smaller than the sum of its proper divisors (859428738).

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

542210382 is a wasteful number, since it uses less digits than its factorization.

542210382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204942 (or 204929 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 542210382 is about 23285.4113556106. The cubic root of 542210382 is about 815.4348649679.

The spelling of 542210382 in words is "five hundred forty-two million, two hundred ten thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 204917 409834 614751 1229502 1434419 1844253 2868838 3688506 4303257 5532759 8606514 10040933 11065518 12909771 20081866 25819542 30122799 38729313 60245598 77458626 90368397 180736794 271105191 542210382