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40431440 = 24571731137
BaseRepresentation
bin1001101000111…
…0111101010000
32211002010111202
42122032331100
540322301230
64002330332
71000442630
oct232167520
984063452
1040431440
1120905815
12116599a8
1384b803a
1455266c0
153839a45
hex268ef50

40431440 has 160 divisors (see below), whose sum is σ = 118278144. Its totient is φ = 12533760.

The previous prime is 40431439. The next prime is 40431467. The reversal of 40431440 is 4413404.

40431440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 295052 + ... + 295188.

Almost surely, 240431440 is an apocalyptic number.

40431440 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 40431440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59139072).

40431440 is an abundant number, since it is smaller than the sum of its proper divisors (77846704).

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

40431440 is a wasteful number, since it uses less digits than its factorization.

40431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 40431440 is about 6358.5721667683. The cubic root of 40431440 is about 343.2203815666.

Adding to 40431440 its reverse (4413404), we get a palindrome (44844844).

The spelling of 40431440 in words is "forty million, four hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 31 34 35 40 56 62 68 70 80 85 112 119 124 136 137 140 155 170 217 238 248 272 274 280 310 340 434 476 496 527 548 560 595 620 680 685 868 952 959 1054 1085 1096 1190 1240 1360 1370 1736 1904 1918 2108 2170 2192 2329 2380 2480 2635 2740 3472 3689 3836 4216 4247 4340 4658 4760 4795 5270 5480 7378 7672 8432 8494 8680 9316 9520 9590 10540 10960 11645 14756 15344 16303 16988 17360 18445 18632 19180 21080 21235 23290 29512 29729 32606 33976 36890 37264 38360 42160 42470 46580 59024 59458 65212 67952 72199 73780 76720 81515 84940 93160 118916 130424 144398 147560 148645 163030 169880 186320 237832 260848 288796 295120 297290 326060 339760 360995 475664 505393 577592 594580 652120 721990 1010786 1155184 1189160 1304240 1443980 2021572 2378320 2526965 2887960 4043144 5053930 5775920 8086288 10107860 20215720 40431440