Search a number
-
+
42818256 = 24321389257
BaseRepresentation
bin1010001101010…
…1101011010000
32222120101121100
42203111223100
541430141011
64125424400
71026643365
oct243255320
988511540
1042818256
1122195a98
121240b100
138b42560
14598846c
153b5bd56
hex28d5ad0

42818256 has 120 divisors (see below), whose sum is σ = 131007240. Its totient is φ = 12976128.

The previous prime is 42818231. The next prime is 42818263. The reversal of 42818256 is 65281824.

42818256 is a `hidden beast` number, since 428 + 182 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5363856 + 37454400 = 2316^2 + 6120^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 42818256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166480 + ... + 166736.

It is an arithmetic number, because the mean of its divisors is an integer number (1091727).

Almost surely, 242818256 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 42818256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65503620).

42818256 is an abundant number, since it is smaller than the sum of its proper divisors (88188984).

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

42818256 is a wasteful number, since it uses less digits than its factorization.

42818256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 364 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 42818256 is about 6543.5660002784. The cubic root of 42818256 is about 349.8455263904.

The spelling of 42818256 in words is "forty-two million, eight hundred eighteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 89 104 117 144 156 178 208 234 257 267 312 356 468 514 534 624 712 771 801 936 1028 1068 1157 1424 1542 1602 1872 2056 2136 2313 2314 3084 3204 3341 3471 4112 4272 4626 4628 6168 6408 6682 6942 9252 9256 10023 10413 12336 12816 13364 13884 18504 18512 20046 20826 22873 26728 27768 30069 37008 40092 41652 45746 53456 55536 60138 68619 80184 83304 91492 120276 137238 160368 166608 182984 205857 240552 274476 297349 365968 411714 481104 548952 594698 823428 892047 1097904 1189396 1646856 1784094 2378792 2676141 3293712 3568188 4757584 5352282 7136376 10704564 14272752 21409128 42818256