Search a number
-
+
42919254 = 2337176679
BaseRepresentation
bin1010001110111…
…0010101010110
32222202112011000
42203232111112
541441404004
64131524130
71030544010
oct243562526
988675130
1042919254
1122254964
1212459646
138b79511
1459b31b0
153b7bc39
hex28ee556

42919254 has 64 divisors (see below), whose sum is σ = 115430400. Its totient is φ = 11539584.

The previous prime is 42919231. The next prime is 42919259. The reversal of 42919254 is 45291924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42919259) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3087 + ... + 9765.

It is an arithmetic number, because the mean of its divisors is an integer number (1803600).

Almost surely, 242919254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42919254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57715200).

42919254 is an abundant number, since it is smaller than the sum of its proper divisors (72511146).

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

42919254 is a wasteful number, since it uses less digits than its factorization.

42919254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6714 (or 6708 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 42919254 is about 6551.2788064621. The cubic root of 42919254 is about 350.1203776407.

It can be divided in two parts, 429 and 19254, that added together give a 9-th power (19683 = 39).

The spelling of 42919254 in words is "forty-two million, nine hundred nineteen thousand, two hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 714 918 1071 2142 3213 6426 6679 13358 20037 40074 46753 60111 93506 113543 120222 140259 180333 227086 280518 340629 360666 420777 681258 794801 841554 1021887 1262331 1589602 2043774 2384403 2524662 3065661 4768806 6131322 7153209 14306418 21459627 42919254