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40074440 = 2357178419
BaseRepresentation
bin1001100011011…
…1110011001000
32210101222210112
42120313303020
540224340230
63550533452
7664425050
oct230676310
983358715
1040074440
112069157a
1211507288
1383c16b3
145472560
1537b8d95
hex2637cc8

40074440 has 64 divisors (see below), whose sum is σ = 109123200. Its totient is φ = 12930048.

The previous prime is 40074431. The next prime is 40074443. The reversal of 40074440 is 4447004.

40074440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40074443) 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 15 ways as a sum of consecutive naturals, for example, 551 + ... + 8969.

It is an arithmetic number, because the mean of its divisors is an integer number (1705050).

Almost surely, 240074440 is an apocalyptic number.

40074440 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 40074440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54561600).

40074440 is an abundant number, since it is smaller than the sum of its proper divisors (69048760).

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

40074440 is a wasteful number, since it uses less digits than its factorization.

40074440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8454 (or 8450 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 23.

The square root of 40074440 is about 6330.4375836114. The cubic root of 40074440 is about 342.2072088827.

The spelling of 40074440 in words is "forty million, seventy-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 8419 16838 33676 42095 58933 67352 84190 117866 143123 168380 235732 286246 294665 336760 471464 572492 589330 715615 1001861 1144984 1178660 1431230 2003722 2357320 2862460 4007444 5009305 5724920 8014888 10018610 20037220 40074440