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542031400 = 235217159421
BaseRepresentation
bin100000010011101…
…011111000101000
31101202221001022001
4200103223320220
52102230001100
6125441340344
716301122321
oct4023537050
91352831261
10542031400
11258a65239
121316376b4
13883b0451
1451db7448
15328bbd6a
hex204ebe28

542031400 has 48 divisors (see below), whose sum is σ = 1334362140. Its totient is φ = 204057600.

The previous prime is 542031397. The next prime is 542031419. The reversal of 542031400 is 4130245.

It can be written as a sum of positive squares in 6 ways, for example, as 361988676 + 180042724 = 19026^2 + 13418^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 76311 + ... + 83110.

Almost surely, 2542031400 is an apocalyptic number.

542031400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542031400 is an abundant number, since it is smaller than the sum of its proper divisors (792330740).

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

542031400 is a wasteful number, since it uses less digits than its factorization.

542031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159454 (or 159445 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 542031400 is about 23281.5678166227. The cubic root of 542031400 is about 815.3451309029.

Adding to 542031400 its reverse (4130245), we get a palindrome (546161645).

The spelling of 542031400 in words is "five hundred forty-two million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 159421 318842 637684 797105 1275368 1594210 2710157 3188420 3985525 5420314 6376840 7971050 10840628 13550785 15942100 21681256 27101570 31884200 54203140 67753925 108406280 135507850 271015700 542031400