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42836256 = 2533431153
BaseRepresentation
bin1010001101101…
…0000100100000
32222121022022000
42203122010200
541431230011
64130044000
71030050021
oct243320440
988538260
1042836256
11221a8571
1212419600
138b4a7c8
145990c48
153b62356
hex28da120

42836256 has 96 divisors (see below), whose sum is σ = 127955520. Its totient is φ = 13934592.

The previous prime is 42836231. The next prime is 42836263. The reversal of 42836256 is 65263824.

42836256 is a `hidden beast` number, since 4 + 28 + 3 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 42836256.

It is a congruent number.

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, 36576 + ... + 37728.

It is an arithmetic number, because the mean of its divisors is an integer number (1332870).

Almost surely, 242836256 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 42836256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63977760).

42836256 is an abundant number, since it is smaller than the sum of its proper divisors (85119264).

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

42836256 is a wasteful number, since it uses less digits than its factorization.

42836256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1201 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 42836256 is about 6544.9412526011. The cubic root of 42836256 is about 349.8945423777.

The spelling of 42836256 in words is "forty-two million, eight hundred thirty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 86 96 108 129 144 172 216 258 288 344 387 432 516 688 774 864 1032 1153 1161 1376 1548 2064 2306 2322 3096 3459 4128 4612 4644 6192 6918 9224 9288 10377 12384 13836 18448 18576 20754 27672 31131 36896 37152 41508 49579 55344 62262 83016 99158 110688 124524 148737 166032 198316 249048 297474 332064 396632 446211 498096 594948 793264 892422 996192 1189896 1338633 1586528 1784844 2379792 2677266 3569688 4759584 5354532 7139376 10709064 14278752 21418128 42836256