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40490800 = 2452714461
BaseRepresentation
bin1001101001110…
…1011100110000
32211012010221021
42122131130300
540331201200
64003505224
71001110660
oct232353460
984163837
1040490800
1120946379
1211688214
13850906c
1455401a0
15384c41a
hex269d730

40490800 has 60 divisors (see below), whose sum is σ = 111183856. Its totient is φ = 13881600.

The previous prime is 40490783. The next prime is 40490809. The reversal of 40490800 is 809404.

40490800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (40490809) 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 11 ways as a sum of consecutive naturals, for example, 4431 + ... + 10030.

Almost surely, 240490800 is an apocalyptic number.

40490800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40490800 is an abundant number, since it is smaller than the sum of its proper divisors (70693056).

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

40490800 is a wasteful number, since it uses less digits than its factorization.

40490800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14486 (or 14475 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 40490800 is about 6363.2381693600. The cubic root of 40490800 is about 343.3882674115.

It can be divided in two parts, 404 and 90800, that added together give a square (91204 = 3022).

The spelling of 40490800 in words is "forty million, four hundred ninety thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 14461 28922 57844 72305 101227 115688 144610 202454 231376 289220 361525 404908 506135 578440 723050 809816 1012270 1156880 1446100 1619632 2024540 2530675 2892200 4049080 5061350 5784400 8098160 10122700 20245400 40490800