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40424000 = 265331163
BaseRepresentation
bin1001101000110…
…1001001000000
32211001202022012
42122031021000
540322032000
64002232052
71000412141
oct232151100
984052265
1040424000
1120900171
1211655628
1384b4836
145523ac8
153837735
hex268d240

40424000 has 112 divisors (see below), whose sum is σ = 103973376. Its totient is φ = 15552000.

The previous prime is 40423993. The next prime is 40424009. The reversal of 40424000 is 42404.

It is not an unprimeable number, because it can be changed into a prime (40424009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247919 + ... + 248081.

Almost surely, 240424000 is an apocalyptic number.

40424000 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 40424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51986688).

40424000 is an abundant number, since it is smaller than the sum of its proper divisors (63549376).

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

40424000 is a wasteful number, since it uses less digits than its factorization.

40424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 40424000 is about 6357.9871028495. The cubic root of 40424000 is about 343.1993276847.

Adding to 40424000 its reverse (42404), we get a palindrome (40466404).

The spelling of 40424000 in words is "forty million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 125 155 160 163 200 248 250 310 320 326 400 496 500 620 652 775 800 815 992 1000 1240 1304 1550 1600 1630 1984 2000 2480 2608 3100 3260 3875 4000 4075 4960 5053 5216 6200 6520 7750 8000 8150 9920 10106 10432 12400 13040 15500 16300 20212 20375 24800 25265 26080 31000 32600 40424 40750 49600 50530 52160 62000 65200 80848 81500 101060 124000 126325 130400 161696 163000 202120 248000 252650 260800 323392 326000 404240 505300 631625 652000 808480 1010600 1263250 1304000 1616960 2021200 2526500 4042400 5053000 8084800 10106000 20212000 40424000