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57387840 = 263559779
BaseRepresentation
bin1101101011101…
…0101101000000
310222222121022120
43122322231000
5104142402330
65410004240
71264534326
oct332725500
9128877276
1057387840
112a437374
1217276680
13bb74003
14789bd16
155088c10
hex36bab40

57387840 has 56 divisors (see below), whose sum is σ = 182209440. Its totient is φ = 15303168.

The previous prime is 57387833. The next prime is 57387857. The reversal of 57387840 is 4878375.

57387840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 57387792 and 57387801.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 28930 + ... + 30849.

It is an arithmetic number, because the mean of its divisors is an integer number (3253740).

Almost surely, 257387840 is an apocalyptic number.

It is an amenable number.

57387840 is an abundant number, since it is smaller than the sum of its proper divisors (124821600).

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

57387840 is a wasteful number, since it uses less digits than its factorization.

57387840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59799 (or 59789 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 57387840 is about 7575.4762226543. The cubic root of 57387840 is about 385.7210079173.

The spelling of 57387840 in words is "fifty-seven million, three hundred eighty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 59779 119558 179337 239116 298895 358674 478232 597790 717348 896685 956464 1195580 1434696 1793370 1912928 2391160 2869392 3586740 3825856 4782320 5738784 7173480 9564640 11477568 14346960 19129280 28693920 57387840