Search a number
-
+
42287856 = 243133401
BaseRepresentation
bin1010000101010…
…0001011110000
32221120110000220
42201110023300
541311202411
64110213040
71022304132
oct241241360
987513026
1042287856
1121963546
12121b4180
1389b8000
14588b052
153aa4b06
hex28542f0

42287856 has 80 divisors (see below), whose sum is σ = 118638240. Its totient is φ = 12979200.

The previous prime is 42287821. The next prime is 42287879. The reversal of 42287856 is 65878224.

It is a happy number.

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, 105256 + ... + 105656.

It is an arithmetic number, because the mean of its divisors is an integer number (1482978).

Almost surely, 242287856 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 42287856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59319120).

42287856 is an abundant number, since it is smaller than the sum of its proper divisors (76350384).

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

42287856 is a wasteful number, since it uses less digits than its factorization.

42287856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 419 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 42287856 is about 6502.9113480041. The cubic root of 42287856 is about 348.3949802499.

The spelling of 42287856 in words is "forty-two million, two hundred eighty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 401 507 624 676 802 1014 1203 1352 1604 2028 2197 2406 2704 3208 4056 4394 4812 5213 6416 6591 8112 8788 9624 10426 13182 15639 17576 19248 20852 26364 31278 35152 41704 52728 62556 67769 83408 105456 125112 135538 203307 250224 271076 406614 542152 813228 880997 1084304 1626456 1761994 2642991 3252912 3523988 5285982 7047976 10571964 14095952 21143928 42287856