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40408080 = 24351011667
BaseRepresentation
bin1001101000100…
…1010000010000
32211000221110120
42122021100100
540321024310
64002030240
71000314546
oct232112020
984027416
1040408080
112089a209
1211648380
1384aa50b
14551bd96
153832b70
hex2689410

40408080 has 80 divisors (see below), whose sum is σ = 126581184. Its totient is φ = 10662400.

The previous prime is 40408073. The next prime is 40408087. The reversal of 40408080 is 8080404.

It is an interprime number because it is at equal distance from previous prime (40408073) and next prime (40408087).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 40408080.

It is not an unprimeable number, because it can be changed into a prime (40408087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23407 + ... + 25073.

Almost surely, 240408080 is an apocalyptic number.

40408080 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 40408080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63290592).

40408080 is an abundant number, since it is smaller than the sum of its proper divisors (86173104).

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

40408080 is a wasteful number, since it uses less digits than its factorization.

40408080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 40408080 is about 6356.7350109942. The cubic root of 40408080 is about 343.1542682258.

Adding to 40408080 its reverse (8080404), we get a palindrome (48488484).

The spelling of 40408080 in words is "forty million, four hundred eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 240 303 404 505 606 808 1010 1212 1515 1616 1667 2020 2424 3030 3334 4040 4848 5001 6060 6668 8080 8335 10002 12120 13336 16670 20004 24240 25005 26672 33340 40008 50010 66680 80016 100020 133360 168367 200040 336734 400080 505101 673468 841835 1010202 1346936 1683670 2020404 2525505 2693872 3367340 4040808 5051010 6734680 8081616 10102020 13469360 20204040 40408080