Search a number
-
+
42258744 = 233211229233
BaseRepresentation
bin1010000100110…
…1000100111000
32221111222002200
42201031010320
541304234434
64105430200
71022123223
oct241150470
987458080
1042258744
1121943690
121219b360
1389a7998
1458805ba
153a9b199
hex284d138

42258744 has 96 divisors (see below), whose sum is σ = 125938800. Its totient is φ = 12695040.

The previous prime is 42258743. The next prime is 42258757. The reversal of 42258744 is 44785224.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 42258699 and 42258708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42258743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181252 + ... + 181484.

Almost surely, 242258744 is an apocalyptic number.

42258744 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42258744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62969400).

42258744 is an abundant number, since it is smaller than the sum of its proper divisors (83680056).

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

42258744 is a wasteful number, since it uses less digits than its factorization.

42258744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 478 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 42258744 is about 6500.6725805873. The cubic root of 42258744 is about 348.3150140062.

The spelling of 42258744 in words is "forty-two million, two hundred fifty-eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 229 233 264 396 458 466 687 699 792 916 932 1374 1398 1832 1864 2061 2097 2519 2563 2748 2796 4122 4194 5038 5126 5496 5592 7557 7689 8244 8388 10076 10252 15114 15378 16488 16776 20152 20504 22671 23067 30228 30756 45342 46134 53357 60456 61512 90684 92268 106714 160071 181368 184536 213428 320142 426856 480213 586927 640284 960426 1173854 1280568 1760781 1920852 2347708 3521562 3841704 4695416 5282343 7043124 10564686 14086248 21129372 42258744