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5040450252 = 22326112831789
BaseRepresentation
bin1001011000110111…
…10010101011001100
3111000021111101212200
410230123302223030
540310323402002
62152054201500
7235623056145
oct45433625314
914007441780
105040450252
112157225972
12b88053290
13624352356
1435b5d0acc
151e7796b1c
hex12c6f2acc

5040450252 has 72 divisors (see below), whose sum is σ = 12967347120. Its totient is φ = 1650395520.

The previous prime is 5040450229. The next prime is 5040450257. The reversal of 5040450252 is 2520540405.

5040450252 is a `hidden beast` number, since 5 + 0 + 404 + 5 + 0 + 252 = 666.

It is a super-2 number, since 2×50404502522 = 50812277485773727008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5040450257) 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 23 ways as a sum of consecutive naturals, for example, 2816574 + ... + 2818362.

Almost surely, 25040450252 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 5040450252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6483673560).

5040450252 is an abundant number, since it is smaller than the sum of its proper divisors (7926896868).

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

5040450252 is a wasteful number, since it uses less digits than its factorization.

5040450252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 5040450252 is about 70996.1284296545. The cubic root of 5040450252 is about 1714.5748310111.

Adding to 5040450252 its reverse (2520540405), we get a palindrome (7560990657).

The spelling of 5040450252 in words is "five billion, forty million, four hundred fifty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 1283 1789 2196 2566 3578 3849 5132 5367 7156 7698 10734 11547 15396 16101 21468 23094 32202 46188 64404 78263 109129 156526 218258 234789 313052 327387 436516 469578 654774 704367 939156 982161 1309548 1408734 1964322 2295287 2817468 3928644 4590574 6885861 9181148 13771722 20657583 27543444 41315166 82630332 140012507 280025014 420037521 560050028 840075042 1260112563 1680150084 2520225126 5040450252