Search a number
-
+
40253696 = 28723209
BaseRepresentation
bin1001100110001…
…1100100000000
32210202002200122
42121203210000
540301104241
63554435412
7666102500
oct231434400
983662618
1040253696
11207a421a
1211592b68
138455172
1454bba00
15380204b
hex2663900

40253696 has 54 divisors (see below), whose sum is σ = 93497670. Its totient is φ = 17246208.

The previous prime is 40253693. The next prime is 40253713. The reversal of 40253696 is 69635204.

It can be written as a sum of positive squares in only one way, i.e., 35236096 + 5017600 = 5936^2 + 2240^2 .

It is not an unprimeable number, because it can be changed into a prime (40253693) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10940 + ... + 14148.

Almost surely, 240253696 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 40253696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46748835).

40253696 is an abundant number, since it is smaller than the sum of its proper divisors (53243974).

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

40253696 is an equidigital number, since it uses as much as digits as its factorization.

40253696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239 (or 3218 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 40253696 is about 6344.5800491443. The cubic root of 40253696 is about 342.7166895603.

The spelling of 40253696 in words is "forty million, two hundred fifty-three thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 3209 6272 6418 12544 12836 22463 25672 44926 51344 89852 102688 157241 179704 205376 314482 359408 410752 628964 718816 821504 1257928 1437632 2515856 2875264 5031712 5750528 10063424 20126848 40253696