Search a number
-
+
5047488 = 263323127
BaseRepresentation
bin10011010000010011000000
3100111102212000
4103100103000
52243004423
6300104000
760621465
oct23202300
910442760
105047488
112938286
121835000
1310795a4
1495566c
1569a843
hex4d04c0

5047488 has 112 divisors (see below), whose sum is σ = 15605760. Its totient is φ = 1596672.

The previous prime is 5047447. The next prime is 5047499. The reversal of 5047488 is 8847405.

5047488 is a `hidden beast` number, since 504 + 74 + 88 = 666.

It is a super-2 number, since 2×50474882 = 50954270220288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 39681 + ... + 39807.

Almost surely, 25047488 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 5047488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7802880).

5047488 is an abundant number, since it is smaller than the sum of its proper divisors (10558272).

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

5047488 is a wasteful number, since it uses less digits than its factorization.

5047488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 5047488 is about 2246.6615232384. The cubic root of 5047488 is about 171.5372453793.

The spelling of 5047488 in words is "five million, forty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 127 138 144 184 192 207 216 254 276 288 368 381 414 432 508 552 576 621 736 762 828 864 1016 1104 1143 1242 1472 1524 1656 1728 2032 2208 2286 2484 2921 3048 3312 3429 4064 4416 4572 4968 5842 6096 6624 6858 8128 8763 9144 9936 11684 12192 13248 13716 17526 18288 19872 23368 24384 26289 27432 35052 36576 39744 46736 52578 54864 70104 73152 78867 93472 105156 109728 140208 157734 186944 210312 219456 280416 315468 420624 560832 630936 841248 1261872 1682496 2523744 5047488