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40291472 = 2413971997
BaseRepresentation
bin1001100110110…
…0110010010000
32210211000111202
42121230302100
540303311342
63555330332
7666320564
oct231546220
983730452
1040291472
112081a641
12115b09a8
138469410
1454cb6a4
15380d332
hex266cc90

40291472 has 40 divisors (see below), whose sum is σ = 84978936. Its totient is φ = 18395136.

The previous prime is 40291451. The next prime is 40291477. The reversal of 40291472 is 27419204.

It can be written as a sum of positive squares in 4 ways, for example, as 802816 + 39488656 = 896^2 + 6284^2 .

It is not an unprimeable number, because it can be changed into a prime (40291477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19178 + ... + 21174.

Almost surely, 240291472 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 40291472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42489468).

40291472 is an abundant number, since it is smaller than the sum of its proper divisors (44687464).

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

40291472 is a wasteful number, since it uses less digits than its factorization.

40291472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 40291472 is about 6347.5563802144. The cubic root of 40291472 is about 342.8238633042.

The spelling of 40291472 in words is "forty million, two hundred ninety-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 52 97 104 194 208 388 776 1261 1552 1997 2522 3994 5044 7988 10088 15976 20176 25961 31952 51922 103844 193709 207688 387418 415376 774836 1549672 2518217 3099344 5036434 10072868 20145736 40291472