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42794856 = 23321323517
BaseRepresentation
bin1010001100111…
…1111101101000
32222112012111200
42203033331220
541423413411
64125124200
71026515226
oct243177550
988465450
1042794856
112217a455
12123b9660
138b34a00
14597db16
153b54e56
hex28cff68

42794856 has 72 divisors (see below), whose sum is σ = 125539830. Its totient is φ = 13163904.

The previous prime is 42794839. The next prime is 42794861. The reversal of 42794856 is 65849724.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 33246756 + 9548100 = 5766^2 + 3090^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10410 + ... + 13926.

Almost surely, 242794856 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 42794856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62769915).

42794856 is an abundant number, since it is smaller than the sum of its proper divisors (82744974).

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

42794856 is a wasteful number, since it uses less digits than its factorization.

42794856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3555 (or 3535 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 42794856 is about 6541.7777400337. Note that the first 4 decimals coincide. The cubic root of 42794856 is about 349.7817850660.

The spelling of 42794856 in words is "forty-two million, seven hundred ninety-four thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 3517 4056 6084 7034 10551 12168 14068 21102 28136 31653 42204 45721 63306 84408 91442 126612 137163 182884 253224 274326 365768 411489 548652 594373 822978 1097304 1188746 1645956 1783119 2377492 3291912 3566238 4754984 5349357 7132476 10698714 14264952 21397428 42794856