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57007000 = 2353109523
BaseRepresentation
bin1101100101110…
…1101110011000
310222021020220101
43121131232120
5104043211000
65353505144
71261360111
oct331355630
9128236811
1057007000
112a1a7226
12171121b4
13ba6c86b
1477dd208
155010e6a
hex365db98

57007000 has 64 divisors (see below), whose sum is σ = 134877600. Its totient is φ = 22550400.

The previous prime is 57006991. The next prime is 57007007. The reversal of 57007000 is 70075.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57007007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108739 + ... + 109261.

Almost surely, 257007000 is an apocalyptic number.

57007000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57007000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67438800).

57007000 is an abundant number, since it is smaller than the sum of its proper divisors (77870600).

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

57007000 is a wasteful number, since it uses less digits than its factorization.

57007000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 245, while the sum is 19.

The square root of 57007000 is about 7550.2980073637. The cubic root of 57007000 is about 384.8658665810.

Adding to 57007000 its reverse (70075), we get a palindrome (57077075).

The spelling of 57007000 in words is "fifty-seven million, seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 125 200 218 250 436 500 523 545 872 1000 1046 1090 2092 2180 2615 2725 4184 4360 5230 5450 10460 10900 13075 13625 20920 21800 26150 27250 52300 54500 57007 65375 104600 109000 114014 130750 228028 261500 285035 456056 523000 570070 1140140 1425175 2280280 2850350 5700700 7125875 11401400 14251750 28503500 57007000