[go: up one dir, main page]

Search a number
-
+
42956256 = 253797659
BaseRepresentation
bin1010001111011…
…1010111100000
32222211101220110
42203313113200
541444100011
64132411320
71031056620
oct243672740
988741813
1042956256
112227a742
1212476b40
138b90305
1459c2880
153b87ba6
hex28f75e0

42956256 has 96 divisors (see below), whose sum is σ = 130394880. Its totient is φ = 12128256.

The previous prime is 42956231. The next prime is 42956257. The reversal of 42956256 is 65265924.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42956257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64855 + ... + 65513.

It is an arithmetic number, because the mean of its divisors is an integer number (1358280).

Almost surely, 242956256 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 42956256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65197440).

42956256 is an abundant number, since it is smaller than the sum of its proper divisors (87438624).

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

42956256 is a wasteful number, since it uses less digits than its factorization.

42956256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 768 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 42956256 is about 6554.1022268500. The cubic root of 42956256 is about 350.2209652307.

The spelling of 42956256 in words is "forty-two million, nine hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 97 112 168 194 224 291 336 388 582 659 672 679 776 1164 1318 1358 1552 1977 2037 2328 2636 2716 3104 3954 4074 4613 4656 5272 5432 7908 8148 9226 9312 10544 10864 13839 15816 16296 18452 21088 21728 27678 31632 32592 36904 55356 63264 63923 65184 73808 110712 127846 147616 191769 221424 255692 383538 442848 447461 511384 767076 894922 1022768 1342383 1534152 1789844 2045536 2684766 3068304 3579688 5369532 6136608 7159376 10739064 14318752 21478128 42956256