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42236064 = 25321329389
BaseRepresentation
bin1010000100011…
…1100010100000
32221110210222200
42201013202200
541303023224
64105133200
71022000133
oct241074240
987423880
1042236064
1121928642
121218a200
13899a570
14587621a
153a945c9
hex28478a0

42236064 has 144 divisors (see below), whose sum is σ = 134152200. Its totient is φ = 12515328.

The previous prime is 42236057. The next prime is 42236087. The reversal of 42236064 is 46063224.

It can be written as a sum of positive squares in 4 ways, for example, as 24088464 + 18147600 = 4908^2 + 4260^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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, 108382 + ... + 108770.

Almost surely, 242236064 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 42236064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67076100).

42236064 is an abundant number, since it is smaller than the sum of its proper divisors (91916136).

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

42236064 is a wasteful number, since it uses less digits than its factorization.

42236064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 42236064 is about 6498.9279115866. The cubic root of 42236064 is about 348.2526900353.

Adding to 42236064 its reverse (46063224), we get a palindrome (88299288).

The spelling of 42236064 in words is "forty-two million, two hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 29 32 36 39 48 52 58 72 78 87 96 104 116 117 144 156 174 208 232 234 261 288 312 348 377 389 416 464 468 522 624 696 754 778 928 936 1044 1131 1167 1248 1392 1508 1556 1872 2088 2262 2334 2784 3016 3112 3393 3501 3744 4176 4524 4668 5057 6032 6224 6786 7002 8352 9048 9336 10114 11281 12064 12448 13572 14004 15171 18096 18672 20228 22562 27144 28008 30342 33843 36192 37344 40456 45124 45513 54288 56016 60684 67686 80912 90248 91026 101529 108576 112032 121368 135372 146653 161824 180496 182052 203058 242736 270744 293306 360992 364104 406116 439959 485472 541488 586612 728208 812232 879918 1082976 1173224 1319877 1456416 1624464 1759836 2346448 2639754 3248928 3519672 4692896 5279508 7039344 10559016 14078688 21118032 42236064