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57534150 = 2352537237
BaseRepresentation
bin1101101101111…
…0011011000110
311000021001000110
43123132123012
5104212043100
65413053450
71266014022
oct333363306
9130231013
1057534150
112a527293
1217327286
13bbc579b
1478d9382
1550b7250
hex36de6c6

57534150 has 48 divisors (see below), whose sum is σ = 145396944. Its totient is φ = 15050880.

The previous prime is 57534133. The next prime is 57534151. The reversal of 57534150 is 5143575.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57534151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4332 + ... + 11568.

It is an arithmetic number, because the mean of its divisors is an integer number (3029103).

Almost surely, 257534150 is an apocalyptic number.

57534150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57534150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72698472).

57534150 is an abundant number, since it is smaller than the sum of its proper divisors (87862794).

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

57534150 is a wasteful number, since it uses less digits than its factorization.

57534150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7305 (or 7300 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 57534150 is about 7585.1268941264. The cubic root of 57534150 is about 386.0485276403.

The spelling of 57534150 in words is "fifty-seven million, five hundred thirty-four thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 53 75 106 150 159 265 318 530 795 1325 1590 2650 3975 7237 7950 14474 21711 36185 43422 72370 108555 180925 217110 361850 383561 542775 767122 1085550 1150683 1917805 2301366 3835610 5753415 9589025 11506830 19178050 28767075 57534150