Search a number
-
+
40854216 = 23313373539
BaseRepresentation
bin1001101111011…
…0001011001000
32211212121110010
42123312023020
540424313331
64015351520
71004153334
oct233661310
984777403
1040854216
1121074417
12118225a0
1386055c0
1455d67c4
1538bee46
hex26f62c8

40854216 has 64 divisors (see below), whose sum is σ = 112996800. Its totient is φ = 12227328.

The previous prime is 40854131. The next prime is 40854217. The reversal of 40854216 is 61245804.

40854216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40854217) 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 15 ways as a sum of consecutive naturals, for example, 9775 + ... + 13313.

It is an arithmetic number, because the mean of its divisors is an integer number (1765575).

Almost surely, 240854216 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 40854216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56498400).

40854216 is an abundant number, since it is smaller than the sum of its proper divisors (72142584).

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

40854216 is a wasteful number, since it uses less digits than its factorization.

40854216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 40854216 is about 6391.7302821693. The cubic root of 40854216 is about 344.4125436367.

The spelling of 40854216 in words is "forty million, eight hundred fifty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 222 296 312 444 481 888 962 1443 1924 2886 3539 3848 5772 7078 10617 11544 14156 21234 28312 42468 46007 84936 92014 130943 138021 184028 261886 276042 368056 392829 523772 552084 785658 1047544 1104168 1571316 1702259 3142632 3404518 5106777 6809036 10213554 13618072 20427108 40854216