Search a number
-
+
2942442492 = 2231171313961
BaseRepresentation
bin1010111101100010…
…0001101111111100
321121001201120021120
42233120201233330
522011231124432
61203550430540
7132626230353
oct25730415774
97531646246
102942442492
11127aa28660
126a1502450
1337b7b1242
141dcb0299a
151234c4c2c
hexaf621bfc

2942442492 has 48 divisors (see below), whose sum is σ = 7595368704. Its totient is φ = 879088000.

The previous prime is 2942442487. The next prime is 2942442493.

2942442492 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2942442493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147609 + ... + 166352.

It is an arithmetic number, because the mean of its divisors is an integer number (158236848).

Almost surely, 22942442492 is an apocalyptic number.

2942442492 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2942442492 is an abundant number, since it is smaller than the sum of its proper divisors (4652926212).

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

2942442492 is a wasteful number, since it uses less digits than its factorization.

2942442492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314050 (or 314048 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 2942442492 is about 54244.2853395637. The cubic root of 2942442492 is about 1432.9663580918.

The spelling of 2942442492 in words is "two billion, nine hundred forty-two million, four hundred forty-two thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 426 781 852 1562 2343 3124 4686 9372 313961 627922 941883 1255844 1883766 3453571 3767532 6907142 10360713 13814284 20721426 22291231 41442852 44582462 66873693 89164924 133747386 245203541 267494772 490407082 735610623 980814164 1471221246 2942442492