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40475880 = 23325293877
BaseRepresentation
bin1001101001100…
…1110011101000
32211011101110200
42122121303220
540330212010
64003312200
71001016324
oct232316350
984141420
1040475880
1120936145
121167b660
138502333
145538984
153847cc0
hex2699ce8

40475880 has 96 divisors (see below), whose sum is σ = 136117800. Its totient is φ = 10418688.

The previous prime is 40475873. The next prime is 40475881. The reversal of 40475880 is 8857404.

40475880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 28323684 + 12152196 = 5322^2 + 3486^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40475881) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8502 + ... + 12378.

Almost surely, 240475880 is an apocalyptic number.

40475880 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 40475880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68058900).

40475880 is an abundant number, since it is smaller than the sum of its proper divisors (95641920).

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

40475880 is a wasteful number, since it uses less digits than its factorization.

40475880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3923 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 40475880 is about 6362.0657022700. The cubic root of 40475880 is about 343.3460851350.

The spelling of 40475880 in words is "forty million, four hundred seventy-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 3877 5220 7754 10440 11631 15508 19385 23262 31016 34893 38770 46524 58155 69786 77540 93048 112433 116310 139572 155080 174465 224866 232620 279144 337299 348930 449732 465240 562165 674598 697860 899464 1011897 1124330 1349196 1395720 1686495 2023794 2248660 2698392 3372990 4047588 4497320 5059485 6745980 8095176 10118970 13491960 20237940 40475880