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57741040 = 2457234483
BaseRepresentation
bin1101110001000…
…0111011110000
311000122112211001
43130100323300
5104240203130
65421331344
71300535140
oct334207360
9130575731
1057741040
112a658775
1217406b54
13bc689c6
147950920
1551086ca
hex3710ef0

57741040 has 80 divisors (see below), whose sum is σ = 160132608. Its totient is φ = 18931968.

The previous prime is 57741037. The next prime is 57741043. The reversal of 57741040 is 4014775.

57741040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57741037) and next prime (57741043).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57741043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10639 + ... + 15121.

Almost surely, 257741040 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 57741040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80066304).

57741040 is an abundant number, since it is smaller than the sum of its proper divisors (102391568).

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

57741040 is a wasteful number, since it uses less digits than its factorization.

57741040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4526 (or 4520 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 57741040 is about 7598.7525291985. The cubic root of 57741040 is about 386.5107113171.

The spelling of 57741040 in words is "fifty-seven million, seven hundred forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 460 560 644 805 920 1288 1610 1840 2576 3220 4483 6440 8966 12880 17932 22415 31381 35864 44830 62762 71728 89660 103109 125524 156905 179320 206218 251048 313810 358640 412436 502096 515545 627620 721763 824872 1031090 1255240 1443526 1649744 2062180 2510480 2887052 3608815 4124360 5774104 7217630 8248720 11548208 14435260 28870520 57741040