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40382880 = 253584131
BaseRepresentation
bin1001101000001…
…1000110100000
32210222122220020
42122003012200
540314223010
64001313440
71000151226
oct232030640
983878806
1040382880
112088228a
1211635880
13849bbc5
145512b16
15382a470
hex26831a0

40382880 has 48 divisors (see below), whose sum is σ = 127207584. Its totient is φ = 10768640.

The previous prime is 40382857. The next prime is 40382893. The reversal of 40382880 is 8828304.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41586 + ... + 42545.

It is an arithmetic number, because the mean of its divisors is an integer number (2650158).

Almost surely, 240382880 is an apocalyptic number.

40382880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40382880 is an abundant number, since it is smaller than the sum of its proper divisors (86824704).

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

40382880 is a wasteful number, since it uses less digits than its factorization.

40382880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84149 (or 84141 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 40382880 is about 6354.7525522242. The cubic root of 40382880 is about 343.0829187513.

The spelling of 40382880 in words is "forty million, three hundred eighty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 84131 168262 252393 336524 420655 504786 673048 841310 1009572 1261965 1346096 1682620 2019144 2523930 2692192 3365240 4038288 5047860 6730480 8076576 10095720 13460960 20191440 40382880