Search a number
-
+
42253614 = 23213533407
BaseRepresentation
bin1010000100101…
…1110100101110
32221111201001200
42201023310232
541304103424
64105350330
71022102244
oct241136456
987451050
1042253614
112193a847
12121983a6
1389a5550
14587c794
153a998c9
hex284bd2e

42253614 has 48 divisors (see below), whose sum is σ = 100481472. Its totient is φ = 12752064.

The previous prime is 42253613. The next prime is 42253633. The reversal of 42253614 is 41635224.

42253614 is a `hidden beast` number, since 42 + 2 + 5 + 3 + 614 = 666.

42253614 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42253613) 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 23 ways as a sum of consecutive naturals, for example, 10699 + ... + 14105.

It is an arithmetic number, because the mean of its divisors is an integer number (2093364).

Almost surely, 242253614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42253614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50240736).

42253614 is an abundant number, since it is smaller than the sum of its proper divisors (58227858).

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

42253614 is a wasteful number, since it uses less digits than its factorization.

42253614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3481 (or 3478 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 42253614 is about 6500.2779940553. The cubic root of 42253614 is about 348.3009188694.

Adding to 42253614 its reverse (41635224), we get a palindrome (83888838).

The spelling of 42253614 in words is "forty-two million, two hundred fifty-three thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 159 234 318 477 689 954 1378 2067 3407 4134 6201 6814 10221 12402 20442 30663 44291 61326 88582 132873 180571 265746 361142 398619 541713 797238 1083426 1625139 2347423 3250278 4694846 7042269 14084538 21126807 42253614