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40552000 = 265337137
BaseRepresentation
bin1001101010110…
…0011001000000
32211022020212221
42122230121000
540340131000
64005100424
71001454256
oct232543100
984266787
1040552000
1120988355
12116b7714
13852ab88
1455585d6
15386061a
hex26ac640

40552000 has 112 divisors (see below), whose sum is σ = 103894128. Its totient is φ = 15667200.

The previous prime is 40551991. The next prime is 40552067. The reversal of 40552000 is 25504.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4359744 + 36192256 = 2088^2 + 6016^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 295932 + ... + 296068.

Almost surely, 240552000 is an apocalyptic number.

40552000 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 40552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51947064).

40552000 is an abundant number, since it is smaller than the sum of its proper divisors (63342128).

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

40552000 is a wasteful number, since it uses less digits than its factorization.

40552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 40552000 is about 6368.0452259701. The cubic root of 40552000 is about 343.5611855635.

Adding to 40552000 its reverse (25504), we get a palindrome (40577504).

The spelling of 40552000 in words is "forty million, five hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 125 137 148 160 185 200 250 274 296 320 370 400 500 548 592 685 740 800 925 1000 1096 1184 1370 1480 1600 1850 2000 2192 2368 2740 2960 3425 3700 4000 4384 4625 5069 5480 5920 6850 7400 8000 8768 9250 10138 10960 11840 13700 14800 17125 18500 20276 21920 25345 27400 29600 34250 37000 40552 43840 50690 54800 59200 68500 74000 81104 101380 109600 126725 137000 148000 162208 202760 219200 253450 274000 296000 324416 405520 506900 548000 633625 811040 1013800 1096000 1267250 1622080 2027600 2534500 4055200 5069000 8110400 10138000 20276000 40552000