Search a number
-
+
40454100 = 22335214983
BaseRepresentation
bin1001101001010…
…0011111010100
32211010021121000
42122110133110
540324012400
64003023300
71000565661
oct232243724
984107530
1040454100
1120920845
121166ab30
1384c544b
145530a68
153841600
hex26947d4

40454100 has 72 divisors (see below), whose sum is σ = 130061120. Its totient is φ = 10787040.

The previous prime is 40454093. The next prime is 40454107. The reversal of 40454100 is 145404.

40454100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40454093) and next prime (40454107).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40454107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4792 + ... + 10191.

Almost surely, 240454100 is an apocalyptic number.

It is an amenable number.

40454100 is an abundant number, since it is smaller than the sum of its proper divisors (89607020).

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

40454100 is a wasteful number, since it uses less digits than its factorization.

40454100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15006 (or 14993 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 40454100 is about 6360.3537637462. The cubic root of 40454100 is about 343.2844894436.

Adding to 40454100 its reverse (145404), we get a palindrome (40599504).

The spelling of 40454100 in words is "forty million, four hundred fifty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 14983 29966 44949 59932 74915 89898 134847 149830 179796 224745 269694 299660 374575 404541 449490 539388 674235 749150 809082 898980 1123725 1348470 1498300 1618164 2022705 2247450 2696940 3371175 4045410 4494900 6742350 8090820 10113525 13484700 20227050 40454100