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40904880 = 2435414157
BaseRepresentation
bin1001110000001…
…0100010110000
32211222011221120
42130002202300
540432424010
64020422240
71004454132
oct234024260
984864846
1040904880
11210a9495
1211847980
138622693
14560b052
1538cee70
hex27028b0

40904880 has 80 divisors (see below), whose sum is σ = 129929184. Its totient is φ = 10639360.

The previous prime is 40904861. The next prime is 40904909. The reversal of 40904880 is 8840904.

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

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, 7762 + ... + 11918.

Almost surely, 240904880 is an apocalyptic number.

40904880 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 40904880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64964592).

40904880 is an abundant number, since it is smaller than the sum of its proper divisors (89024304).

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

40904880 is a wasteful number, since it uses less digits than its factorization.

40904880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214 (or 4208 counting only the distinct ones).

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

The square root of 40904880 is about 6395.6923002909. The cubic root of 40904880 is about 344.5548554201.

The spelling of 40904880 in words is "forty million, nine hundred four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4157 4920 8314 9840 12471 16628 20785 24942 33256 41570 49884 62355 66512 83140 99768 124710 166280 170437 199536 249420 332560 340874 498840 511311 681748 852185 997680 1022622 1363496 1704370 2045244 2556555 2726992 3408740 4090488 5113110 6817480 8180976 10226220 13634960 20452440 40904880