Search a number
-
+
42517104 = 2437218077
BaseRepresentation
bin1010001000110…
…0001001110000
32222000002111120
42202030021300
541341021404
64115142240
71024250400
oct242141160
988002446
1042517104
1121aaa803
12122a4980
138a68466
14590a800
153aec9d9
hex288c270

42517104 has 60 divisors (see below), whose sum is σ = 127775304. Its totient is φ = 12147072.

The previous prime is 42517099. The next prime is 42517109. The reversal of 42517104 is 40171524.

It is an interprime number because it is at equal distance from previous prime (42517099) and next prime (42517109).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42517109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6687 + ... + 11390.

Almost surely, 242517104 is an apocalyptic number.

It is an amenable number.

42517104 is an abundant number, since it is smaller than the sum of its proper divisors (85258200).

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

42517104 is a wasteful number, since it uses less digits than its factorization.

42517104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18102 (or 18089 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 42517104 is about 6520.5140901619. The cubic root of 42517104 is about 349.0234109358.

Adding to 42517104 its reverse (40171524), we get a palindrome (82688628).

The spelling of 42517104 in words is "forty-two million, five hundred seventeen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 18077 36154 54231 72308 108462 126539 144616 216924 253078 289232 379617 433848 506156 759234 867696 885773 1012312 1518468 1771546 2024624 2657319 3036936 3543092 5314638 6073872 7086184 10629276 14172368 21258552 42517104