Search a number
-
+
40284256 = 2519591123
BaseRepresentation
bin1001100110101…
…1000001100000
32210210122121111
42121223001200
540303044011
63555233104
7666260545
oct231530140
983718544
1040284256
1120815181
12115a8794
13846604c
1454c8bcc
15380b121
hex266b060

40284256 has 48 divisors (see below), whose sum is σ = 84974400. Its totient is φ = 18741888.

The previous prime is 40284191. The next prime is 40284287. The reversal of 40284256 is 65248204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35311 + ... + 36433.

It is an arithmetic number, because the mean of its divisors is an integer number (1770300).

Almost surely, 240284256 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 40284256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42487200).

40284256 is an abundant number, since it is smaller than the sum of its proper divisors (44690144).

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

40284256 is a wasteful number, since it uses less digits than its factorization.

40284256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 40284256 is about 6346.9879470502. The cubic root of 40284256 is about 342.8033960724.

The spelling of 40284256 in words is "forty million, two hundred eighty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 38 59 76 118 152 236 304 472 608 944 1121 1123 1888 2242 2246 4484 4492 8968 8984 17936 17968 21337 35872 35936 42674 66257 85348 132514 170696 265028 341392 530056 682784 1060112 1258883 2120224 2517766 5035532 10071064 20142128 40284256