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57238000 = 245328619
BaseRepresentation
bin1101101001011…
…0000111110000
310222200222202221
43122112013300
5104123104000
65402450424
71263341431
oct332260760
9128628687
1057238000
112a344836
1217203a14
13bb20a51
14785d488
15505961a
hex36961f0

57238000 has 40 divisors (see below), whose sum is σ = 138406320. Its totient is φ = 22894400.

The previous prime is 57237991. The next prime is 57238019. The reversal of 57238000 is 83275.

57238000 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 Harshad number since it is a multiple of its sum of digits (25).

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, 12310 + ... + 16309.

It is an arithmetic number, because the mean of its divisors is an integer number (3460158).

Almost surely, 257238000 is an apocalyptic number.

57238000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57238000 is an abundant number, since it is smaller than the sum of its proper divisors (81168320).

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

57238000 is a wasteful number, since it uses less digits than its factorization.

57238000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28642 (or 28626 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 57238000 is about 7565.5799513322. The cubic root of 57238000 is about 385.3850086812.

The spelling of 57238000 in words is "fifty-seven million, two hundred thirty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 28619 57238 114476 143095 228952 286190 457904 572380 715475 1144760 1430950 2289520 2861900 3577375 5723800 7154750 11447600 14309500 28619000 57238000