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57531740 = 225717231051
BaseRepresentation
bin1101101101110…
…1110101011100
311000020220201012
43123131311130
5104212003430
65413034352
71266004010
oct333356534
9130226635
1057531740
112a5254a2
12173259b8
13bbc4666
1478d8540
1550b6695
hex36ddd5c

57531740 has 96 divisors (see below), whose sum is σ = 152699904. Its totient is φ = 17740800.

The previous prime is 57531739. The next prime is 57531743. The reversal of 57531740 is 4713575.

It is a super-2 number, since 2×575317402 = 6619802214855200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57531697 and 57531706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57531743) 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 31 ways as a sum of consecutive naturals, for example, 54215 + ... + 55265.

It is an arithmetic number, because the mean of its divisors is an integer number (1590624).

Almost surely, 257531740 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 57531740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76349952).

57531740 is an abundant number, since it is smaller than the sum of its proper divisors (95168164).

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

57531740 is a wasteful number, since it uses less digits than its factorization.

57531740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 32.

The square root of 57531740 is about 7584.9680289372. The cubic root of 57531740 is about 386.0431372768.

The spelling of 57531740 in words is "fifty-seven million, five hundred thirty-one thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 23 28 34 35 46 68 70 85 92 115 119 140 161 170 230 238 322 340 391 460 476 595 644 782 805 1051 1190 1564 1610 1955 2102 2380 2737 3220 3910 4204 5255 5474 7357 7820 10510 10948 13685 14714 17867 21020 24173 27370 29428 35734 36785 48346 54740 71468 73570 89335 96692 120865 125069 147140 169211 178670 241730 250138 338422 357340 410941 483460 500276 625345 676844 821882 846055 1250690 1643764 1692110 2054705 2501380 2876587 3384220 4109410 5753174 8218820 11506348 14382935 28765870 57531740