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40466944 = 29721613
BaseRepresentation
bin1001101001011…
…1101000000000
32211010221012201
42122113220000
540324420234
64003202544
71000651300
oct232275000
984127181
1040466944
112092a461
1211676454
1384cb24b
145535600
153845314
hex2697a00

40466944 has 60 divisors (see below), whose sum is σ = 94113954. Its totient is φ = 17332224.

The previous prime is 40466929. The next prime is 40466957. The reversal of 40466944 is 44966404.

It can be written as a sum of positive squares in only one way, i.e., 32626944 + 7840000 = 5712^2 + 2800^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24282 + ... + 25894.

Almost surely, 240466944 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 40466944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47056977).

40466944 is an abundant number, since it is smaller than the sum of its proper divisors (53647010).

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

40466944 is an equidigital number, since it uses as much as digits as its factorization.

40466944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The square root of 40466944 is about 6361.3633758810. The cubic root of 40466944 is about 343.3208160412.

The spelling of 40466944 in words is "forty million, four hundred sixty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1568 1613 1792 3136 3226 3584 6272 6452 11291 12544 12904 22582 25088 25808 45164 51616 79037 90328 103232 158074 180656 206464 316148 361312 412928 632296 722624 825856 1264592 1445248 2529184 2890496 5058368 5780992 10116736 20233472 40466944