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57542450 = 25271719509
BaseRepresentation
bin1101101110000…
…0011100110010
311000021110101212
43123200130302
5104212324300
65413200122
71266050150
oct333403462
9130243355
1057542450
112a532549
1217330042
13bbc94b4
1478dc3d0
1550b9935
hex36e0732

57542450 has 96 divisors (see below), whose sum is σ = 136598400. Its totient is φ = 17556480.

The previous prime is 57542449. The next prime is 57542473. The reversal of 57542450 is 5424575.

57542450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×575424502 = 6622267104005000, which contains 22 as substring.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 112796 + ... + 113304.

It is an arithmetic number, because the mean of its divisors is an integer number (1422900).

Almost surely, 257542450 is an apocalyptic number.

57542450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57542450 is an abundant number, since it is smaller than the sum of its proper divisors (79055950).

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

57542450 is a wasteful number, since it uses less digits than its factorization.

57542450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 32.

The square root of 57542450 is about 7585.6739977407. The cubic root of 57542450 is about 386.0670908108.

The spelling of 57542450 in words is "fifty-seven million, five hundred forty-two thousand, four hundred fifty".

Divisors: 1 2 5 7 10 14 17 19 25 34 35 38 50 70 85 95 119 133 170 175 190 238 266 323 350 425 475 509 595 646 665 850 950 1018 1190 1330 1615 2261 2545 2975 3230 3325 3563 4522 5090 5950 6650 7126 8075 8653 9671 11305 12725 16150 17306 17815 19342 22610 25450 35630 43265 48355 56525 60571 67697 86530 89075 96710 113050 121142 135394 164407 178150 216325 241775 302855 328814 338485 432650 483550 605710 676970 822035 1150849 1514275 1644070 1692425 2301698 3028550 3384850 4110175 5754245 8220350 11508490 28771225 57542450