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40556240 = 2451573229
BaseRepresentation
bin1001101010110…
…1011011010000
32211022110200222
42122231123100
540340244430
64005132212
71001502524
oct232553320
984273628
1040556240
112099055a
12116ba068
13852ca9a
145559d84
1538619e5
hex26ad6d0

40556240 has 40 divisors (see below), whose sum is σ = 94923240. Its totient is φ = 16114176.

The previous prime is 40556233. The next prime is 40556249. The reversal of 40556240 is 4265504.

40556240 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 512656 + 40043584 = 716^2 + 6328^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40556249) 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 7 ways as a sum of consecutive naturals, for example, 10946 + ... + 14174.

It is an arithmetic number, because the mean of its divisors is an integer number (2373081).

Almost surely, 240556240 is an apocalyptic number.

40556240 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 40556240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47461620).

40556240 is an abundant number, since it is smaller than the sum of its proper divisors (54367000).

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

40556240 is a wasteful number, since it uses less digits than its factorization.

40556240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3399 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 40556240 is about 6368.3781294769. The cubic root of 40556240 is about 343.5731590680.

The spelling of 40556240 in words is "forty million, five hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 314 628 785 1256 1570 2512 3140 3229 6280 6458 12560 12916 16145 25832 32290 51664 64580 129160 258320 506953 1013906 2027812 2534765 4055624 5069530 8111248 10139060 20278120 40556240