[go: up one dir, main page]

Search a number
-
+
42674500 = 2253117759
BaseRepresentation
bin1010001011001…
…0100101000100
32222022002102001
42202302211010
541411041000
64122355044
71025504311
oct242624504
988262361
1042674500
11220a7a90
121235ba84
138ac1cab
14594bd08
153b2e46a
hex28b2944

42674500 has 48 divisors (see below), whose sum is σ = 101687040. Its totient is φ = 15516000.

The previous prime is 42674473. The next prime is 42674501. The reversal of 42674500 is 547624.

It is a super-2 number, since 2×426745002 = 3642225900500000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42674501) 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, 1621 + ... + 9379.

It is an arithmetic number, because the mean of its divisors is an integer number (2118480).

Almost surely, 242674500 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 42674500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50843520).

42674500 is an abundant number, since it is smaller than the sum of its proper divisors (59012540).

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

42674500 is a wasteful number, since it uses less digits than its factorization.

42674500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7789 (or 7777 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 42674500 is about 6532.5722345796. The cubic root of 42674500 is about 349.4535691078.

The spelling of 42674500 in words is "forty-two million, six hundred seventy-four thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 220 250 275 500 550 1100 1375 2750 5500 7759 15518 31036 38795 77590 85349 155180 170698 193975 341396 387950 426745 775900 853490 969875 1706980 1939750 2133725 3879500 4267450 8534900 10668625 21337250 42674500