Search a number
-
+
40281216 = 273195521
BaseRepresentation
bin1001100110101…
…0010010000000
32210210111102220
42121222102000
540302444331
63555211040
7666245643
oct231522200
983714386
1040281216
1120812968
12115a6a80
138464851
1454c7a5a
15380a296
hex266a480

40281216 has 64 divisors (see below), whose sum is σ = 112648800. Its totient is φ = 12718080.

The previous prime is 40281193. The next prime is 40281221. The reversal of 40281216 is 61218204.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4536 + ... + 10056.

Almost surely, 240281216 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 40281216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56324400).

40281216 is an abundant number, since it is smaller than the sum of its proper divisors (72367584).

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

40281216 is a wasteful number, since it uses less digits than its factorization.

40281216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5557 (or 5545 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 40281216 is about 6346.7484588567. The cubic root of 40281216 is about 342.7947727818.

It can be divided in two parts, 402 and 81216, that added together give a palindrome (81618).

The spelling of 40281216 in words is "forty million, two hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 5521 7296 11042 16563 22084 33126 44168 66252 88336 104899 132504 176672 209798 265008 314697 353344 419596 530016 629394 706688 839192 1060032 1258788 1678384 2120064 2517576 3356768 5035152 6713536 10070304 13427072 20140608 40281216