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40940880 = 2435179953
BaseRepresentation
bin1001110000101…
…1010101010000
32212001000022220
42130023111100
540440102010
64021301040
71004664111
oct234132520
985030286
1040940880
1121123542
1211864780
138635b96
14561a208
1538da970
hex270b550

40940880 has 80 divisors (see below), whose sum is σ = 127759680. Its totient is φ = 10845184.

The previous prime is 40940843. The next prime is 40940891. The reversal of 40940880 is 8804904.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42484 + ... + 43436.

It is an arithmetic number, because the mean of its divisors is an integer number (1596996).

Almost surely, 240940880 is an apocalyptic number.

40940880 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 40940880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63879840).

40940880 is an abundant number, since it is smaller than the sum of its proper divisors (86818800).

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

40940880 is a wasteful number, since it uses less digits than its factorization.

40940880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 40940880 is about 6398.5060756398. The cubic root of 40940880 is about 344.6559056102.

The spelling of 40940880 in words is "forty million, nine hundred forty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 179 240 358 537 716 895 953 1074 1432 1790 1906 2148 2685 2859 2864 3580 3812 4296 4765 5370 5718 7160 7624 8592 9530 10740 11436 14295 14320 15248 19060 21480 22872 28590 38120 42960 45744 57180 76240 114360 170587 228720 341174 511761 682348 852935 1023522 1364696 1705870 2047044 2558805 2729392 3411740 4094088 5117610 6823480 8188176 10235220 13646960 20470440 40940880