Search a number
-
+
42254736 = 2433173389
BaseRepresentation
bin1010000100110…
…0000110010000
32221111202121020
42201030012100
541304122421
64105355440
71022105436
oct241140620
987452536
1042254736
1121940677
1212198b80
1389a5c04
14587cd56
153a99dc6
hex284c190

42254736 has 80 divisors (see below), whose sum is σ = 114516480. Its totient is φ = 13409280.

The previous prime is 42254717. The next prime is 42254743. The reversal of 42254736 is 63745224.

Its product of digits (40320) is a multiple of the sum of its prime factors (504).

It is a junction number, because it is equal to n+sod(n) for n = 42254697 and 42254706.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108430 + ... + 108818.

It is an arithmetic number, because the mean of its divisors is an integer number (1431456).

Almost surely, 242254736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42254736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57258240).

42254736 is an abundant number, since it is smaller than the sum of its proper divisors (72261744).

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

42254736 is a wasteful number, since it uses less digits than its factorization.

42254736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 498 counting only the distinct ones).

The product of its digits is 40320, while the sum is 33.

The square root of 42254736 is about 6500.3642974836. The cubic root of 42254736 is about 348.3040017629.

The spelling of 42254736 in words is "forty-two million, two hundred fifty-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 73 93 124 146 186 219 248 292 372 389 438 496 584 744 778 876 1167 1168 1488 1556 1752 2263 2334 3112 3504 4526 4668 6224 6789 9052 9336 12059 13578 18104 18672 24118 27156 28397 36177 36208 48236 54312 56794 72354 85191 96472 108624 113588 144708 170382 192944 227176 289416 340764 454352 578832 681528 880307 1363056 1760614 2640921 3521228 5281842 7042456 10563684 14084912 21127368 42254736