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40494816 = 253417919
BaseRepresentation
bin1001101001111…
…0011011100000
32211012100110000
42122132123200
540331313231
64003540000
71001125455
oct232363340
984170400
1040494816
112094939a
121168a600
13850ab3b
14554182c
15384d6e6
hex269e6e0

40494816 has 120 divisors (see below), whose sum is σ = 126236880. Its totient is φ = 12690432.

The previous prime is 40494803. The next prime is 40494821. The reversal of 40494816 is 61849404.

It is a happy number.

40494816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 43605 + ... + 44523.

It is an arithmetic number, because the mean of its divisors is an integer number (1051974).

Almost surely, 240494816 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 40494816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63118440).

40494816 is an abundant number, since it is smaller than the sum of its proper divisors (85742064).

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

40494816 is a wasteful number, since it uses less digits than its factorization.

40494816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 40494816 is about 6363.5537241387. The cubic root of 40494816 is about 343.3996197985.

The spelling of 40494816 in words is "forty million, four hundred ninety-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 272 288 306 324 408 432 459 544 612 648 816 864 918 919 1224 1296 1377 1632 1836 1838 2448 2592 2754 2757 3672 3676 4896 5508 5514 7344 7352 8271 11016 11028 14688 14704 15623 16542 22032 22056 24813 29408 31246 33084 44064 44112 46869 49626 62492 66168 74439 88224 93738 99252 124984 132336 140607 148878 187476 198504 249968 264672 281214 297756 374952 397008 421821 499936 562428 595512 749904 794016 843642 1124856 1191024 1265463 1499808 1687284 2249712 2382048 2530926 3374568 4499424 5061852 6749136 10123704 13498272 20247408 40494816