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42514374 = 2375371269
BaseRepresentation
bin1010001000101…
…1011111000110
32221222221202110
42202023133012
541340424444
64115121450
71024236420
oct242133706
987887673
1042514374
1121aa8751
12122a3286
138a67146
145909810
153aebcb9
hex288b7c6

42514374 has 64 divisors (see below), whose sum is σ = 100776960. Its totient is φ = 11706240.

The previous prime is 42514357. The next prime is 42514379. The reversal of 42514374 is 47341524.

42514374 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×425143742 = 3614943993223752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42514379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157912 + ... + 158180.

It is an arithmetic number, because the mean of its divisors is an integer number (1574640).

Almost surely, 242514374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42514374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50388480).

42514374 is an abundant number, since it is smaller than the sum of its proper divisors (58262586).

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

42514374 is a wasteful number, since it uses less digits than its factorization.

42514374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405.

The product of its digits is 13440, while the sum is 30.

The square root of 42514374 is about 6520.3047474792. The cubic root of 42514374 is about 349.0159405751.

Adding to 42514374 its reverse (47341524), we get a palindrome (89855898).

The spelling of 42514374 in words is "forty-two million, five hundred fourteen thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 53 71 106 142 159 213 269 318 371 426 497 538 742 807 994 1113 1491 1614 1883 2226 2982 3763 3766 5649 7526 11289 11298 14257 19099 22578 26341 28514 38198 42771 52682 57297 79023 85542 99799 114594 133693 158046 199598 267386 299397 401079 598794 802158 1012247 2024494 3036741 6073482 7085729 14171458 21257187 42514374