Search a number
-
+
40394816 = 2672111171
BaseRepresentation
bin1001101000011…
…0000001000000
32211000021021022
42122012001000
540320113231
64001445012
71000231100
oct232060100
984007238
1040394816
1120890250
1211640768
1384a4477
145517200
15382dc7b
hex2686040

40394816 has 84 divisors (see below), whose sum is σ = 101809296. Its totient is φ = 15724800.

The previous prime is 40394813. The next prime is 40394821. The reversal of 40394816 is 61849304.

It is not an unprimeable number, because it can be changed into a prime (40394813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33911 + ... + 35081.

Almost surely, 240394816 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 40394816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50904648).

40394816 is an abundant number, since it is smaller than the sum of its proper divisors (61414480).

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

40394816 is a wasteful number, since it uses less digits than its factorization.

40394816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 40394816 is about 6355.6916224751. The cubic root of 40394816 is about 343.1167171854.

The spelling of 40394816 in words is "forty million, three hundred ninety-four thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 154 176 196 224 308 352 392 448 539 616 704 784 1078 1171 1232 1568 2156 2342 2464 3136 4312 4684 4928 8197 8624 9368 12881 16394 17248 18736 25762 32788 34496 37472 51524 57379 65576 74944 90167 103048 114758 131152 180334 206096 229516 262304 360668 412192 459032 524608 631169 721336 824384 918064 1262338 1442672 1836128 2524676 2885344 3672256 5049352 5770688 10098704 20197408 40394816