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57541356 = 22321598371
BaseRepresentation
bin1101101110000…
…0001011101100
311000021101220100
43123200023230
5104212310411
65413151100
71266044025
oct333401354
9130241810
1057541356
112a531744
121732b490
13bbc8b52
1478dbc4c
1550b9456
hex36e02ec

57541356 has 18 divisors (see below), whose sum is σ = 145451852. Its totient is φ = 19180440.

The previous prime is 57541349. The next prime is 57541381. The reversal of 57541356 is 65314575.

57541356 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 (18).

It is a super-2 number, since 2×575413562 = 6622015300637472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1598371 = 57541356 / (5 + 7 + 5 + 4 + 1 + 3 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 57541356.

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 5 ways as a sum of consecutive naturals, for example, 799150 + ... + 799221.

Almost surely, 257541356 is an apocalyptic number.

It is an amenable number.

57541356 is an abundant number, since it is smaller than the sum of its proper divisors (87910496).

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

57541356 is a wasteful number, since it uses less digits than its factorization.

57541356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598381 (or 1598376 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 57541356 is about 7585.6018877872. The cubic root of 57541356 is about 386.0646441529.

The spelling of 57541356 in words is "fifty-seven million, five hundred forty-one thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 1598371 3196742 4795113 6393484 9590226 14385339 19180452 28770678 57541356