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40579434 = 2337313463
BaseRepresentation
bin1001101011001…
…1000101101010
32211100122112000
42122303011222
540342020214
64005431430
71001630250
oct232630552
984318460
1040579434
11209a6a25
121170b576
13853a4cc
1455645d0
153868809
hex26b316a

40579434 has 64 divisors (see below), whose sum is σ = 106414080. Its totient is φ = 11216880.

The previous prime is 40579423. The next prime is 40579453. The reversal of 40579434 is 43497504.

40579434 is a `hidden beast` number, since 40 + 579 + 43 + 4 = 666.

40579434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 9987 + ... + 13449.

It is an arithmetic number, because the mean of its divisors is an integer number (1662720).

Almost surely, 240579434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40579434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53207040).

40579434 is an abundant number, since it is smaller than the sum of its proper divisors (65834646).

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

40579434 is a wasteful number, since it uses less digits than its factorization.

40579434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512 (or 3506 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 40579434 is about 6370.1988979937. The cubic root of 40579434 is about 343.6386427619.

The spelling of 40579434 in words is "forty million, five hundred seventy-nine thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 378 434 558 651 837 1302 1674 1953 3463 3906 5859 6926 10389 11718 20778 24241 31167 48482 62334 72723 93501 107353 145446 187002 214706 218169 322059 436338 644118 654507 751471 966177 1309014 1502942 1932354 2254413 2898531 4508826 5797062 6763239 13526478 20289717 40579434