Search a number
-
+
40291728 = 2431018311
BaseRepresentation
bin1001100110110…
…0110110010000
32210211000212020
42121230312100
540303313403
63555331440
7666321411
oct231546620
983730766
1040291728
112081a854
12115b0b80
138469579
1454cb808
15380d453
hex266cd90

40291728 has 40 divisors (see below), whose sum is σ = 105130176. Its totient is φ = 13296000.

The previous prime is 40291711. The next prime is 40291739. The reversal of 40291728 is 82719204.

It is a happy 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, 693 + ... + 9003.

Almost surely, 240291728 is an apocalyptic number.

40291728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40291728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52565088).

40291728 is an abundant number, since it is smaller than the sum of its proper divisors (64838448).

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

40291728 is a wasteful number, since it uses less digits than its factorization.

40291728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8423 (or 8417 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 40291728 is about 6347.5765454227. The cubic root of 40291728 is about 342.8245893695.

The spelling of 40291728 in words is "forty million, two hundred ninety-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2424 4848 8311 16622 24933 33244 49866 66488 99732 132976 199464 398928 839411 1678822 2518233 3357644 5036466 6715288 10072932 13430576 20145864 40291728