Search a number
-
+
4149456 = 243137631
BaseRepresentation
bin1111110101000011010000
321210210222120
433311003100
52030240311
6224534240
750161353
oct17650320
97723876
104149456
112384603
121481380
13b238cc
147a029a
1556e706
hex3f50d0

4149456 has 40 divisors (see below), whose sum is σ = 10814784. Its totient is φ = 1370880.

The previous prime is 4149451. The next prime is 4149469. The reversal of 4149456 is 6549414.

4149456 = T4 + T5 + ... + T291.

4149456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4149451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6261 + ... + 6891.

Almost surely, 24149456 is an apocalyptic number.

It is an amenable number.

4149456 is an abundant number, since it is smaller than the sum of its proper divisors (6665328).

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

4149456 is a wasteful number, since it uses less digits than its factorization.

4149456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 773 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 4149456 is about 2037.0213548218. The cubic root of 4149456 is about 160.6930354690.

It can be divided in two parts, 414 and 9456, that added together give a triangular number (9870 = T140).

The spelling of 4149456 in words is "four million, one hundred forty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 137 274 411 548 631 822 1096 1262 1644 1893 2192 2524 3288 3786 5048 6576 7572 10096 15144 30288 86447 172894 259341 345788 518682 691576 1037364 1383152 2074728 4149456