Search a number
-
+
42122256 = 2431179777
BaseRepresentation
bin1010000010101…
…1110000010000
32221021000212120
42200223300100
541240403011
64102454240
71021014261
oct240536020
987230776
1042122256
1121860090
1212134380
13895a817
145846968
153a70a06
hex282bc10

42122256 has 40 divisors (see below), whose sum is σ = 118709664. Its totient is φ = 12764160.

The previous prime is 42122237. The next prime is 42122257. The reversal of 42122256 is 65222124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42122257) 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, 39361 + ... + 40416.

Almost surely, 242122256 is an apocalyptic number.

It is an amenable number.

42122256 is an abundant number, since it is smaller than the sum of its proper divisors (76587408).

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

42122256 is a wasteful number, since it uses less digits than its factorization.

42122256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79799 (or 79793 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 42122256 is about 6490.1660995694. The cubic root of 42122256 is about 347.9396116644.

The spelling of 42122256 in words is "forty-two million, one hundred twenty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 79777 159554 239331 319108 478662 638216 877547 957324 1276432 1755094 1914648 2632641 3510188 3829296 5265282 7020376 10530564 14040752 21061128 42122256