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40564476 = 22374637
BaseRepresentation
bin1001101010111…
…1011011111100
32211022220000000
42122233123330
540341030401
64005234300
71001535531
oct232573374
984286000
1040564476
1120996767
1211702990
138533764
14555cd88
153864186
hex26af6fc

40564476 has 48 divisors (see below), whose sum is σ = 106488480. Its totient is φ = 13518576.

The previous prime is 40564463. The next prime is 40564481. The reversal of 40564476 is 67446504.

40564476 is a `hidden beast` number, since 4 + 0 + 5 + 644 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40564476.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6430 + ... + 11066.

It is an arithmetic number, because the mean of its divisors is an integer number (2218510).

Almost surely, 240564476 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 40564476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53244240).

40564476 is an abundant number, since it is smaller than the sum of its proper divisors (65924004).

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

40564476 is an equidigital number, since it uses as much as digits as its factorization.

40564476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4662 (or 4642 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 40564476 is about 6369.0247291088. The cubic root of 40564476 is about 343.5964146510.

The spelling of 40564476 in words is "forty million, five hundred sixty-four thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 4637 8748 9274 13911 18548 27822 41733 55644 83466 125199 166932 250398 375597 500796 751194 1126791 1502388 2253582 3380373 4507164 6760746 10141119 13521492 20282238 40564476