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57003840 = 2632519793
BaseRepresentation
bin1101100101110…
…0111101000000
310222021002120100
43121130331000
5104043110330
65353442400
71261344645
oct331347500
9128232510
1057003840
112a1a4913
1217110400
13ba6b2aa
1477dbdcc
155010060
hex365cf40

57003840 has 84 divisors (see below), whose sum is σ = 196079364. Its totient is φ = 15200256.

The previous prime is 57003833. The next prime is 57003847. The reversal of 57003840 is 4830075.

57003840 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 (57003833) and next prime (57003847).

It can be written as a sum of positive squares in 2 ways, for example, as 33732864 + 23270976 = 5808^2 + 4824^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57003847) 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 11 ways as a sum of consecutive naturals, for example, 7017 + ... + 12776.

Almost surely, 257003840 is an apocalyptic number.

It is an amenable number.

57003840 is an abundant number, since it is smaller than the sum of its proper divisors (139075524).

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

57003840 is a wasteful number, since it uses less digits than its factorization.

57003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19816 (or 19803 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 57003840 is about 7550.0887412003. The cubic root of 57003840 is about 384.8587551818.

The spelling of 57003840 in words is "fifty-seven million, three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 19793 39586 59379 79172 98965 118758 158344 178137 197930 237516 296895 316688 356274 395860 475032 593790 633376 712548 791720 890685 950064 1187580 1266752 1425096 1583440 1781370 1900128 2375160 2850192 3166880 3562740 3800256 4750320 5700384 6333760 7125480 9500640 11400768 14250960 19001280 28501920 57003840