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40426920 = 23325112297
BaseRepresentation
bin1001101000110…
…1110110101000
32211001220022100
42122031312220
540322130140
64002253400
71000423512
oct232156650
984056270
1040426920
1120902386
1211657260
1384b5c71
145524bb2
153838530
hex268dda8

40426920 has 48 divisors (see below), whose sum is σ = 131388660. Its totient is φ = 10780416.

The previous prime is 40426891. The next prime is 40426921. The reversal of 40426920 is 2962404.

40426920 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 2 ways, for example, as 39917124 + 509796 = 6318^2 + 714^2 .

It is not an unprimeable number, because it can be changed into a prime (40426921) 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, 55789 + ... + 56508.

Almost surely, 240426920 is an apocalyptic number.

40426920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40426920 is an abundant number, since it is smaller than the sum of its proper divisors (90961740).

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

40426920 is a wasteful number, since it uses less digits than its factorization.

40426920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112314 (or 112307 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 40426920 is about 6358.2167311283. The cubic root of 40426920 is about 343.2075910754.

The spelling of 40426920 in words is "forty million, four hundred twenty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 112297 224594 336891 449188 561485 673782 898376 1010673 1122970 1347564 1684455 2021346 2245940 2695128 3368910 4042692 4491880 5053365 6737820 8085384 10106730 13475640 20213460 40426920