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42741128 = 23172910837
BaseRepresentation
bin1010001100001…
…0110110001000
32222102110210202
42203002312020
541420204003
64124031332
71026202463
oct243026610
988373722
1042741128
1122143051
1212392548
138b16411
1459682da
153b44088
hex28c2d88

42741128 has 32 divisors (see below), whose sum is σ = 87787800. Its totient is φ = 19418112.

The previous prime is 42741121. The next prime is 42741143. The reversal of 42741128 is 82114724.

It can be written as a sum of positive squares in 4 ways, for example, as 36699364 + 6041764 = 6058^2 + 2458^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 42741128.

It is not an unprimeable number, because it can be changed into a prime (42741121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1475 + ... + 9362.

Almost surely, 242741128 is an apocalyptic number.

It is an amenable number.

42741128 is an abundant number, since it is smaller than the sum of its proper divisors (45046672).

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

42741128 is a wasteful number, since it uses less digits than its factorization.

42741128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10889 (or 10885 counting only the distinct ones).

The product of its digits is 3584, while the sum is 29.

The square root of 42741128 is about 6537.6699213099. The cubic root of 42741128 is about 349.6353426524.

The spelling of 42741128 in words is "forty-two million, seven hundred forty-one thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 17 29 34 58 68 116 136 232 493 986 1972 3944 10837 21674 43348 86696 184229 314273 368458 628546 736916 1257092 1473832 2514184 5342641 10685282 21370564 42741128