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40446016 = 2613173281
BaseRepresentation
bin1001101001001…
…0100001000000
32211002212111121
42122102201000
540323233031
64002522024
71000533262
oct232224100
984085447
1040446016
1120915766
1211666314
1384c1870
14552bb32
15383e011
hex2692840

40446016 has 56 divisors (see below), whose sum is σ = 87242904. Its totient is φ = 18493440.

The previous prime is 40446001. The next prime is 40446019. The reversal of 40446016 is 61064404.

It can be written as a sum of positive squares in 4 ways, for example, as 10240000 + 30206016 = 3200^2 + 5496^2 .

It is not an unprimeable number, because it can be changed into a prime (40446019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143796 + ... + 144076.

It is an arithmetic number, because the mean of its divisors is an integer number (1557909).

Almost surely, 240446016 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 40446016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43621452).

40446016 is an abundant number, since it is smaller than the sum of its proper divisors (46796888).

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

40446016 is a wasteful number, since it uses less digits than its factorization.

40446016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 40446016 is about 6359.7182327521. The cubic root of 40446016 is about 343.2616215786.

The spelling of 40446016 in words is "forty million, four hundred forty-six thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 173 208 281 346 416 562 692 832 1124 1384 2248 2249 2768 3653 4496 4498 5536 7306 8992 8996 11072 14612 17984 17992 29224 35984 48613 58448 71968 97226 116896 143936 194452 233792 388904 631969 777808 1263938 1555616 2527876 3111232 5055752 10111504 20223008 40446016