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40005480 = 2335437753
BaseRepresentation
bin1001100010011…
…0111101101000
32210021111012110
42120212331220
540220133410
63545242320
7664020024
oct230467550
983244173
1040005480
1120644789
12114933a0
1383991a8
145455384
1537a3720
hex2626f68

40005480 has 64 divisors (see below), whose sum is σ = 122823360. Its totient is φ = 10418688.

The previous prime is 40005479. The next prime is 40005541. The reversal of 40005480 is 8450004.

40005480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1284 + ... + 9036.

It is an arithmetic number, because the mean of its divisors is an integer number (1919115).

Almost surely, 240005480 is an apocalyptic number.

40005480 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 40005480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61411680).

40005480 is an abundant number, since it is smaller than the sum of its proper divisors (82817880).

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

40005480 is a wasteful number, since it uses less digits than its factorization.

40005480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7810 (or 7806 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 40005480 is about 6324.9885375390. The cubic root of 40005480 is about 342.0108064025.

Adding to 40005480 its reverse (8450004), we get a palindrome (48455484).

The spelling of 40005480 in words is "forty million, five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 7753 15506 23259 31012 38765 46518 62024 77530 93036 116295 155060 186072 232590 310120 333379 465180 666758 930360 1000137 1333516 1666895 2000274 2667032 3333790 4000548 5000685 6667580 8001096 10001370 13335160 20002740 40005480