Search a number
-
+
42887020 = 225111511291
BaseRepresentation
bin1010001110011…
…0011101101100
32222200212221011
42203212131230
541434341040
64131115004
71030351021
oct243463554
988625834
1042887020
1122232720
1212442a64
138b67947
1459a5548
153b723ea
hex28e676c

42887020 has 48 divisors (see below), whose sum is σ = 98977536. Its totient is φ = 15480000.

The previous prime is 42886999. The next prime is 42887021. The reversal of 42887020 is 2078824.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (42887021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32575 + ... + 33865.

It is an arithmetic number, because the mean of its divisors is an integer number (2062032).

Almost surely, 242887020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42887020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49488768).

42887020 is an abundant number, since it is smaller than the sum of its proper divisors (56090516).

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

42887020 is a wasteful number, since it uses less digits than its factorization.

42887020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 42887020 is about 6548.8182139986. The cubic root of 42887020 is about 350.0327044270.

The spelling of 42887020 in words is "forty-two million, eight hundred eighty-seven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 151 220 302 604 755 1291 1510 1661 2582 3020 3322 5164 6455 6644 8305 12910 14201 16610 25820 28402 33220 56804 71005 142010 194941 284020 389882 779764 974705 1949410 2144351 3898820 4288702 8577404 10721755 21443510 42887020