Search a number
-
+
42515334 = 23317291597
BaseRepresentation
bin1010001000101…
…1101110000110
32222000000002000
42202023232012
541340442314
64115130130
71024242261
oct242135606
988000060
1042515334
1121aa9444
12122a3946
138a67704
145909cd8
153aec209
hex288bb86

42515334 has 64 divisors (see below), whose sum is σ = 103550400. Its totient is φ = 12870144.

The previous prime is 42515329. The next prime is 42515359. The reversal of 42515334 is 43351524.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42515298 and 42515307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25824 + ... + 27420.

It is an arithmetic number, because the mean of its divisors is an integer number (1617975).

Almost surely, 242515334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42515334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51775200).

42515334 is an abundant number, since it is smaller than the sum of its proper divisors (61035066).

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

42515334 is a wasteful number, since it uses less digits than its factorization.

42515334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1648 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 42515334 is about 6520.3783632547. The cubic root of 42515334 is about 349.0185675515.

Adding to 42515334 its reverse (43351524), we get a palindrome (85866858).

It can be divided in two parts, 42515 and 334, that added together give a square (42849 = 2072).

The spelling of 42515334 in words is "forty-two million, five hundred fifteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 29 34 51 54 58 87 102 153 174 261 306 459 493 522 783 918 986 1479 1566 1597 2958 3194 4437 4791 8874 9582 13311 14373 26622 27149 28746 43119 46313 54298 81447 86238 92626 138939 162894 244341 277878 416817 488682 733023 787321 833634 1250451 1466046 1574642 2361963 2500902 4723926 7085889 14171778 21257667 42515334