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42760256 = 267118677
BaseRepresentation
bin1010001100011…
…1100001000000
32222110110001012
42203013201000
541421312011
64124300052
71026312320
oct243074100
988413035
1042760256
1122156460
12123a1628
138b22036
145971280
153b49a8b
hex28c7840

42760256 has 56 divisors (see below), whose sum is σ = 105802176. Its totient is φ = 16657920.

The previous prime is 42760231. The next prime is 42760259. The reversal of 42760256 is 65206724.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42760259) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 590 + ... + 9266.

Almost surely, 242760256 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 42760256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52901088).

42760256 is an abundant number, since it is smaller than the sum of its proper divisors (63041920).

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

42760256 is a wasteful number, since it uses less digits than its factorization.

42760256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8707 (or 8697 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 42760256 is about 6539.1326641994. The cubic root of 42760256 is about 349.6874924803.

The spelling of 42760256 in words is "forty-two million, seven hundred sixty thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 8677 17354 34708 60739 69416 95447 121478 138832 190894 242956 277664 381788 485912 555328 668129 763576 971824 1336258 1527152 1943648 2672516 3054304 3887296 5345032 6108608 10690064 21380128 42760256