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40858432 = 261095857
BaseRepresentation
bin1001101111011…
…1001101000000
32211212211020021
42123313031000
540424432212
64015423224
71004201536
oct233671500
984784207
1040858432
11210775aa
1211824b14
1386074b4
1455d8156
1538c1307
hex26f7340

40858432 has 28 divisors (see below), whose sum is σ = 81836260. Its totient is φ = 20238336.

The previous prime is 40858423. The next prime is 40858451. The reversal of 40858432 is 23485804.

40858432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 34386496 + 6471936 = 5864^2 + 2544^2 .

It is a super-2 number, since 2×408584322 = 3338822930997248, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 4048 + ... + 9904.

Almost surely, 240858432 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 40858432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40918130).

40858432 is an abundant number, since it is smaller than the sum of its proper divisors (40977828).

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

40858432 is a wasteful number, since it uses less digits than its factorization.

40858432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5978 (or 5968 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 40858432 is about 6392.0600748116. The cubic root of 40858432 is about 344.4243905849.

The spelling of 40858432 in words is "forty million, eight hundred fifty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 109 218 436 872 1744 3488 5857 6976 11714 23428 46856 93712 187424 374848 638413 1276826 2553652 5107304 10214608 20429216 40858432