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54512540 = 22517672393
BaseRepresentation
bin1100111111110…
…0101110011100
310210120112010222
43033330232130
5102423400130
65224220512
71231230455
oct317745634
9123515128
1054512540
1128853095
121630a738
13b3a8354
14735012c
154bbbce5
hex33fcb9c

54512540 has 48 divisors (see below), whose sum is σ = 123070752. Its totient is φ = 20207616.

The previous prime is 54512537. The next prime is 54512543. The reversal of 54512540 is 4521545.

54512540 = T19 + T20 + ... + T688.

It is an interprime number because it is at equal distance from previous prime (54512537) and next prime (54512543).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54512543) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 21584 + ... + 23976.

It is an arithmetic number, because the mean of its divisors is an integer number (2563974).

Almost surely, 254512540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54512540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61535376).

54512540 is an abundant number, since it is smaller than the sum of its proper divisors (68558212).

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

54512540 is a wasteful number, since it uses less digits than its factorization.

54512540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The square root of 54512540 is about 7383.2607972359. The cubic root of 54512540 is about 379.1684030566.

The spelling of 54512540 in words is "fifty-four million, five hundred twelve thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 67 68 85 134 170 268 335 340 670 1139 1340 2278 2393 4556 4786 5695 9572 11390 11965 22780 23930 40681 47860 81362 160331 162724 203405 320662 406810 641324 801655 813620 1603310 2725627 3206620 5451254 10902508 13628135 27256270 54512540