Search a number
-
+
40487400 = 23325283271
BaseRepresentation
bin1001101001110…
…0100111101000
32211011222021100
42122130213220
540331044100
64003441400
71001065032
oct232344750
984158240
1040487400
1120943868
1211686260
138507655
14553cc52
15384b400
hex269c9e8

40487400 has 144 divisors (see below), whose sum is σ = 138116160. Its totient is φ = 10627200.

The previous prime is 40487371. The next prime is 40487401. The reversal of 40487400 is 478404.

40487400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40487401) 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 35 ways as a sum of consecutive naturals, for example, 149265 + ... + 149535.

It is an arithmetic number, because the mean of its divisors is an integer number (959140).

Almost surely, 240487400 is an apocalyptic number.

40487400 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 40487400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69058080).

40487400 is an abundant number, since it is smaller than the sum of its proper divisors (97628760).

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

40487400 is a wasteful number, since it uses less digits than its factorization.

40487400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 40487400 is about 6362.9710041772. The cubic root of 40487400 is about 343.3786557401.

The spelling of 40487400 in words is "forty million, four hundred eighty-seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 83 90 100 120 150 166 180 200 225 249 271 300 332 360 415 450 498 542 600 664 747 813 830 900 996 1084 1245 1355 1494 1626 1660 1800 1992 2075 2168 2439 2490 2710 2988 3252 3320 3735 4065 4150 4878 4980 5420 5976 6225 6504 6775 7470 8130 8300 9756 9960 10840 12195 12450 13550 14940 16260 16600 18675 19512 20325 22493 24390 24900 27100 29880 32520 37350 40650 44986 48780 49800 54200 60975 67479 74700 81300 89972 97560 112465 121950 134958 149400 162600 179944 202437 224930 243900 269916 337395 404874 449860 487800 539832 562325 674790 809748 899720 1012185 1124650 1349580 1619496 1686975 2024370 2249300 2699160 3373950 4048740 4498600 5060925 6747900 8097480 10121850 13495800 20243700 40487400