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40449216 = 2631911103
BaseRepresentation
bin1001101001001…
…1010011000000
32211010000220010
42122103103000
540323333331
64002544520
71000545513
oct232232300
984100803
1040449216
1120918105
1211668140
1384c3162
14552cd7a
15383ee46
hex26934c0

40449216 has 56 divisors (see below), whose sum is σ = 107679744. Its totient is φ = 13400320.

The previous prime is 40449209. The next prime is 40449217. The reversal of 40449216 is 61294404.

It is a super-2 number, since 2×404492162 = 3272278150029312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40449217) 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, 36121 + ... + 37223.

Almost surely, 240449216 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 40449216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53839872).

40449216 is an abundant number, since it is smaller than the sum of its proper divisors (67230528).

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

40449216 is a wasteful number, since it uses less digits than its factorization.

40449216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 40449216 is about 6359.9698112491. The cubic root of 40449216 is about 343.2706740419.

The spelling of 40449216 in words is "forty million, four hundred forty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 191 192 382 573 764 1103 1146 1528 2206 2292 3056 3309 4412 4584 6112 6618 8824 9168 12224 13236 17648 18336 26472 35296 36672 52944 70592 105888 210673 211776 421346 632019 842692 1264038 1685384 2528076 3370768 5056152 6741536 10112304 13483072 20224608 40449216