Search a number
-
+
5041474272 = 253240034373
BaseRepresentation
bin1001011000111111…
…01100101011100000
3111000100102102120100
410230133230223200
540311104134042
62152132142400
7235634552502
oct45437545340
914010372510
105041474272
11215786526a
12b88467a00
13624620493
1435b7b9d72
151e78ea24c
hex12c7ecae0

5041474272 has 72 divisors (see below), whose sum is σ = 14343553224. Its totient is φ = 1679687424.

The previous prime is 5041474271. The next prime is 5041474279. The reversal of 5041474272 is 2724741405.

5041474272 is a `hidden beast` number, since 504 + 1 + 47 + 42 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5041474271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1150678 + ... + 1155050.

It is an arithmetic number, because the mean of its divisors is an integer number (199216017).

Almost surely, 25041474272 is an apocalyptic number.

It is an amenable number.

5041474272 is an abundant number, since it is smaller than the sum of its proper divisors (9302078952).

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

5041474272 is a wasteful number, since it uses less digits than its factorization.

5041474272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8392 (or 8381 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The square root of 5041474272 is about 71003.3398651078. The cubic root of 5041474272 is about 1714.6909343976.

The spelling of 5041474272 in words is "five billion, forty-one million, four hundred seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4003 4373 8006 8746 12009 13119 16012 17492 24018 26238 32024 34984 36027 39357 48036 52476 64048 69968 72054 78714 96072 104952 128096 139936 144108 157428 192144 209904 288216 314856 384288 419808 576432 629712 1152864 1259424 17505119 35010238 52515357 70020476 105030714 140040952 157546071 210061428 280081904 315092142 420122856 560163808 630184284 840245712 1260368568 1680491424 2520737136 5041474272