Search a number
-
+
40062816 = 253389521
BaseRepresentation
bin1001100011010…
…0111101100000
32210101101212000
42120310331200
540224002231
63550404000
7664346133
oct230647540
983341760
1040062816
1120683872
1211500600
1383b9311
14546c21a
1537b56e6
hex2634f60

40062816 has 96 divisors (see below), whose sum is σ = 118389600. Its totient is φ = 13178880.

The previous prime is 40062809. The next prime is 40062877. The reversal of 40062816 is 61826004.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 40062816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76636 + ... + 77156.

It is an arithmetic number, because the mean of its divisors is an integer number (1233225).

Almost surely, 240062816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40062816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59194800).

40062816 is an abundant number, since it is smaller than the sum of its proper divisors (78326784).

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

40062816 is a wasteful number, since it uses less digits than its factorization.

40062816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 40062816 is about 6329.5194130360. The cubic root of 40062816 is about 342.1741187862.

The spelling of 40062816 in words is "forty million, sixty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 89 96 108 144 178 216 267 288 356 432 521 534 712 801 864 1042 1068 1424 1563 1602 2084 2136 2403 2848 3126 3204 4168 4272 4689 4806 6252 6408 8336 8544 9378 9612 12504 12816 14067 16672 18756 19224 25008 25632 28134 37512 38448 46369 50016 56268 75024 76896 92738 112536 139107 150048 185476 225072 278214 370952 417321 450144 556428 741904 834642 1112856 1251963 1483808 1669284 2225712 2503926 3338568 4451424 5007852 6677136 10015704 13354272 20031408 40062816