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57055000 = 235411411
BaseRepresentation
bin1101100110100…
…1011100011000
310222100200202011
43121221130120
5104101230000
65354515304
71261650052
oct331513430
9128320664
1057055000
112a22a2a2
1217135b34
13ba88672
1478128d2
1550202ba
hex3669718

57055000 has 40 divisors (see below), whose sum is σ = 133691580. Its totient is φ = 22820000.

The previous prime is 57054979. The next prime is 57055003. The reversal of 57055000 is 55075.

57055000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57055003) 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 9 ways as a sum of consecutive naturals, for example, 706 + ... + 10705.

Almost surely, 257055000 is an apocalyptic number.

57055000 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 57055000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66845790).

57055000 is an abundant number, since it is smaller than the sum of its proper divisors (76636580).

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

57055000 is a wasteful number, since it uses less digits than its factorization.

57055000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11437 (or 11418 counting only the distinct ones).

The product of its (nonzero) digits is 875, while the sum is 22.

The square root of 57055000 is about 7553.4760210118. The cubic root of 57055000 is about 384.9738555361.

The spelling of 57055000 in words is "fifty-seven million, fifty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 11411 22822 45644 57055 91288 114110 228220 285275 456440 570550 1141100 1426375 2282200 2852750 5705500 7131875 11411000 14263750 28527500 57055000