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2427242742 = 2321913951059
BaseRepresentation
bin1001000010101100…
…1100100011110110
320021011021201002100
42100223030203312
514432333231432
61040504122530
7114102136311
oct22053144366
96234251070
102427242742
11103612a441
12578a66446
132c8b36912
14190511978
15e315807c
hex90acc8f6

2427242742 has 48 divisors (see below), whose sum is σ = 5575752000. Its totient is φ = 760968432.

The previous prime is 2427242731. The next prime is 2427242747. The reversal of 2427242742 is 2472427242.

It is a junction number, because it is equal to n+sod(n) for n = 2427242697 and 2427242706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2427242747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22009 + ... + 73067.

It is an arithmetic number, because the mean of its divisors is an integer number (116161500).

Almost surely, 22427242742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2427242742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2787876000).

2427242742 is an abundant number, since it is smaller than the sum of its proper divisors (3148509258).

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

2427242742 is a wasteful number, since it uses less digits than its factorization.

2427242742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51225 (or 51222 counting only the distinct ones).

The product of its digits is 100352, while the sum is 36.

The square root of 2427242742 is about 49267.0553412724. The cubic root of 2427242742 is about 1343.9127381429.

Adding to 2427242742 its reverse (2472427242), we get a palindrome (4899669984).

The spelling of 2427242742 in words is "two billion, four hundred twenty-seven million, two hundred forty-two thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 139 171 278 342 417 834 1251 2502 2641 5282 7923 15846 23769 47538 51059 102118 153177 306354 459531 919062 970121 1940242 2910363 5820726 7097201 8731089 14194402 17462178 21291603 42583206 63874809 127749618 134846819 269693638 404540457 809080914 1213621371 2427242742