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54198639 = 3411591031
BaseRepresentation
bin1100111011000…
…0000101101111
310202222120120000
43032300011233
5102333324024
65213355343
71225452345
oct316600557
9122876500
1054198639
1128659270
1216198b53
13b2c8501
1472ab995
154b58cc9
hex33b016f

54198639 has 40 divisors (see below), whose sum is σ = 89907840. Its totient is φ = 32259600.

The previous prime is 54198629. The next prime is 54198643. The reversal of 54198639 is 93689145.

It is a happy number.

54198639 is a `hidden beast` number, since 5 + 4 + 1 + 9 + 8 + 639 = 666.

It is not a de Polignac number, because 54198639 - 24 = 54198623 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54198594 and 54198603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54198629) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52054 + ... + 53084.

It is an arithmetic number, because the mean of its divisors is an integer number (2247696).

Almost surely, 254198639 is an apocalyptic number.

54198639 is a gapful number since it is divisible by the number (59) formed by its first and last digit.

54198639 is a deficient number, since it is larger than the sum of its proper divisors (35709201).

54198639 is a wasteful number, since it uses less digits than its factorization.

54198639 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1104 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 54198639 is about 7361.9724938361. The cubic root of 54198639 is about 378.4392098036.

The spelling of 54198639 in words is "fifty-four million, one hundred ninety-eight thousand, six hundred thirty-nine".

Divisors: 1 3 9 11 27 33 59 81 99 177 297 531 649 891 1031 1593 1947 3093 4779 5841 9279 11341 17523 27837 34023 52569 60829 83511 102069 182487 306207 547461 669119 918621 1642383 2007357 4927149 6022071 18066213 54198639