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40216736 = 2572941151
BaseRepresentation
bin1001100101101…
…0100010100000
32210200012222202
42121122202200
540243413421
63553552332
7665556650
oct231324240
983605882
1040216736
112077947a
12115756a8
1384413b1
1454ac360
1537e610b
hex265a8a0

40216736 has 96 divisors (see below), whose sum is σ = 96526080. Its totient is φ = 16128000.

The previous prime is 40216733. The next prime is 40216741. The reversal of 40216736 is 63761204.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 40216699 and 40216708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40216733) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266261 + ... + 266411.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 240216736 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 40216736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48263040).

40216736 is an abundant number, since it is smaller than the sum of its proper divisors (56309344).

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

40216736 is a wasteful number, since it uses less digits than its factorization.

40216736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 40216736 is about 6341.6666579063. Note that the first 4 decimals coincide. The cubic root of 40216736 is about 342.6117659643.

The spelling of 40216736 in words is "forty million, two hundred sixteen thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 41 56 58 82 112 116 151 164 203 224 232 287 302 328 406 464 574 604 656 812 928 1057 1148 1189 1208 1312 1624 2114 2296 2378 2416 3248 4228 4379 4592 4756 4832 6191 6496 8323 8456 8758 9184 9512 12382 16646 16912 17516 19024 24764 30653 33292 33824 35032 38048 43337 49528 61306 66584 70064 86674 99056 122612 133168 140128 173348 179539 198112 245224 266336 346696 359078 490448 693392 718156 980896 1256773 1386784 1436312 2513546 2872624 5027092 5745248 10054184 20108368 40216736