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40072432 = 2429671289
BaseRepresentation
bin1001100011011…
…1010011110000
32210101220001011
42120313103300
540224304212
63550520304
7664416151
oct230672360
983356034
1040072432
1120690014
1211506094
1383c07ca
145471928
1537b84a7
hex26374f0

40072432 has 40 divisors (see below), whose sum is σ = 81579600. Its totient is φ = 19041792.

The previous prime is 40072427. The next prime is 40072441. The reversal of 40072432 is 23427004.

40072432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30444 + ... + 31732.

It is an arithmetic number, because the mean of its divisors is an integer number (2039490).

Almost surely, 240072432 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 40072432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40789800).

40072432 is an abundant number, since it is smaller than the sum of its proper divisors (41507168).

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

40072432 is a wasteful number, since it uses less digits than its factorization.

40072432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 40072432 is about 6330.2789827937. The cubic root of 40072432 is about 342.2014931567.

Adding to 40072432 its reverse (23427004), we get a palindrome (63499436).

It can be divided in two parts, 40072 and 432, that added together give a palindrome (40504).

The spelling of 40072432 in words is "forty million, seventy-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 58 67 116 134 232 268 464 536 1072 1289 1943 2578 3886 5156 7772 10312 15544 20624 31088 37381 74762 86363 149524 172726 299048 345452 598096 690904 1381808 2504527 5009054 10018108 20036216 40072432