Search a number
-
+
2724291252 = 223359427541
BaseRepresentation
bin1010001001100001…
…0110001010110100
321000212020100001000
42202120112022310
521034404310002
61130155003300
7124340044044
oct24230261264
97025210030
102724291252
111178878381
12640439530
13345540177
141bbb57724
1510e28261c
hexa26162b4

2724291252 has 48 divisors (see below), whose sum is σ = 7182705600. Its totient is φ = 892703520.

The previous prime is 2724291247. The next prime is 2724291257. The reversal of 2724291252 is 2521924272.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2724291247) and next prime (2724291257).

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 (2724291257) 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 15 ways as a sum of consecutive naturals, for example, 207399 + ... + 220142.

It is an arithmetic number, because the mean of its divisors is an integer number (149639700).

Almost surely, 22724291252 is an apocalyptic number.

It is an amenable number.

2724291252 is an abundant number, since it is smaller than the sum of its proper divisors (4458414348).

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

2724291252 is a wasteful number, since it uses less digits than its factorization.

2724291252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427613 (or 427605 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2724291252 is about 52194.7435284436. The cubic root of 2724291252 is about 1396.6401151119.

The spelling of 2724291252 in words is "two billion, seven hundred twenty-four million, two hundred ninety-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 108 118 177 236 354 531 708 1062 1593 2124 3186 6372 427541 855082 1282623 1710164 2565246 3847869 5130492 7695738 11543607 15391476 23087214 25224919 46174428 50449838 75674757 100899676 151349514 227024271 302699028 454048542 681072813 908097084 1362145626 2724291252