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40441440 = 2535136481
BaseRepresentation
bin1001101001000…
…1011001100000
32211002122020010
42122101121200
540323111230
64002444520
71000514034
oct232213140
984078203
1040441440
1120912286
1211663740
1384bc760
14552a1c4
15383c9b0
hex2691660

40441440 has 96 divisors (see below), whose sum is σ = 137210976. Its totient is φ = 9953280.

The previous prime is 40441409. The next prime is 40441459. The reversal of 40441440 is 4414404.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3000 + ... + 9480.

It is an arithmetic number, because the mean of its divisors is an integer number (1429281).

Almost surely, 240441440 is an apocalyptic number.

40441440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68605488).

40441440 is an abundant number, since it is smaller than the sum of its proper divisors (96769536).

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

40441440 is a wasteful number, since it uses less digits than its factorization.

40441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6512 (or 6504 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 40441440 is about 6359.3584582094. The cubic root of 40441440 is about 343.2486757265.

Adding to 40441440 its reverse (4414404), we get a palindrome (44855844).

The spelling of 40441440 in words is "forty million, four hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 6481 12962 19443 25924 32405 38886 51848 64810 77772 84253 97215 103696 129620 155544 168506 194430 207392 252759 259240 311088 337012 388860 421265 505518 518480 622176 674024 777720 842530 1011036 1036960 1263795 1348048 1555440 1685060 2022072 2527590 2696096 3110880 3370120 4044144 5055180 6740240 8088288 10110360 13480480 20220720 40441440