Search a number
-
+
40484864 = 2147353
BaseRepresentation
bin1001101001110…
…0000000000000
32211011211210102
42122130000000
540331003424
64003421532
71001054450
oct232340000
984154712
1040484864
1120941972
12116848a8
138506454
14553bd60
15384a7ae
hex269c000

40484864 has 60 divisors (see below), whose sum is σ = 92796144. Its totient is φ = 17301504.

The previous prime is 40484863. The next prime is 40484897. The reversal of 40484864 is 46848404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40484861) 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 3 ways as a sum of consecutive naturals, for example, 114512 + ... + 114864.

Almost surely, 240484864 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 40484864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46398072).

40484864 is an abundant number, since it is smaller than the sum of its proper divisors (52311280).

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

40484864 is an frugal number, since it uses more digits than its factorization.

40484864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 38.

The square root of 40484864 is about 6362.7717230779. The cubic root of 40484864 is about 343.3714862137.

The spelling of 40484864 in words is "forty million, four hundred eighty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 353 448 512 706 896 1024 1412 1792 2048 2471 2824 3584 4096 4942 5648 7168 8192 9884 11296 14336 16384 19768 22592 28672 39536 45184 57344 79072 90368 114688 158144 180736 316288 361472 632576 722944 1265152 1445888 2530304 2891776 5060608 5783552 10121216 20242432 40484864