Search a number
-
+
40451040 = 2532574013
BaseRepresentation
bin1001101001001…
…1101111100000
32211010010101200
42122103233200
540323413130
64003001200
71000554030
oct232235740
984103350
1040451040
1120919513
1211669200
1384c3c36
14552d8c0
153840760
hex2693be0

40451040 has 144 divisors (see below), whose sum is σ = 157798368. Its totient is φ = 9243648.

The previous prime is 40451023. The next prime is 40451053. The reversal of 40451040 is 4015404.

40451040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 8074 + ... + 12086.

It is an arithmetic number, because the mean of its divisors is an integer number (1095822).

Almost surely, 240451040 is an apocalyptic number.

40451040 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 40451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78899184).

40451040 is an abundant number, since it is smaller than the sum of its proper divisors (117347328).

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

40451040 is a wasteful number, since it uses less digits than its factorization.

40451040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041 (or 4030 counting only the distinct ones).

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

The square root of 40451040 is about 6360.1132065396. The cubic root of 40451040 is about 343.2758337323.

Adding to 40451040 its reverse (4015404), we get a palindrome (44466444).

It can be divided in two parts, 404510 and 40, that added together give a triangular number (404550 = T899).

The spelling of 40451040 in words is "forty million, four hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 4013 5040 8026 10080 12039 16052 20065 24078 28091 32104 36117 40130 48156 56182 60195 64208 72234 80260 84273 96312 112364 120390 128416 140455 144468 160520 168546 180585 192624 224728 240780 252819 280910 288936 321040 337092 361170 385248 421365 449456 481560 505638 561820 577872 642080 674184 722340 842730 898912 963120 1011276 1123640 1155744 1264095 1348368 1444680 1685460 1926240 2022552 2247280 2528190 2696736 2889360 3370920 4045104 4494560 5056380 5778720 6741840 8090208 10112760 13483680 20225520 40451040