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40251240 = 23325176577
BaseRepresentation
bin1001100110001…
…0111101101000
32210201222022200
42121202331220
540301014430
63554420200
7666062361
oct231427550
983658280
1040251240
11207a2397
1211591660
138454003
1454bab68
153801460
hex2662f68

40251240 has 96 divisors (see below), whose sum is σ = 138532680. Its totient is φ = 10100736.

The previous prime is 40251209. The next prime is 40251241. The reversal of 40251240 is 4215204.

40251240 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 40220964 + 30276 = 6342^2 + 174^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40251241) 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 23 ways as a sum of consecutive naturals, for example, 2832 + ... + 9408.

Almost surely, 240251240 is an apocalyptic number.

40251240 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 40251240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69266340).

40251240 is an abundant number, since it is smaller than the sum of its proper divisors (98281440).

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

40251240 is a wasteful number, since it uses less digits than its factorization.

40251240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6611 (or 6604 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 40251240 is about 6344.3864951625. The cubic root of 40251240 is about 342.7097193573.

Adding to 40251240 its reverse (4215204), we get a palindrome (44466444).

The spelling of 40251240 in words is "forty million, two hundred fifty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 6577 13154 19731 26308 32885 39462 52616 59193 65770 78924 98655 111809 118386 131540 157848 197310 223618 236772 263080 295965 335427 394620 447236 473544 559045 591930 670854 789240 894472 1006281 1118090 1183860 1341708 1677135 2012562 2236180 2367720 2683416 3354270 4025124 4472360 5031405 6708540 8050248 10062810 13417080 20125620 40251240