Search a number
-
+
2942982504 = 23337111967139
BaseRepresentation
bin1010111101101010…
…0101100101101000
321121002202000001000
42233122211211220
522011400420004
61204010155000
7132633636630
oct25732454550
97532660030
102942982504
111280267350
126a1722a60
1337b93cc87
141dcc036c0
1512357ec39
hexaf6a5968

2942982504 has 512 divisors, whose sum is σ = 10967040000. Its totient is φ = 708238080.

The previous prime is 2942982499. The next prime is 2942982547. The reversal of 2942982504 is 4052892492.

2942982504 is a `hidden beast` number, since 29 + 42 + 9 + 82 + 504 = 666.

It is a super-2 number, since 2×29429825042 = 17322292037700220032, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2942982504.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 21172467 + ... + 21172605.

It is an arithmetic number, because the mean of its divisors is an integer number (21420000).

Almost surely, 22942982504 is an apocalyptic number.

2942982504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2942982504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5483520000).

2942982504 is an abundant number, since it is smaller than the sum of its proper divisors (8024057496).

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

2942982504 is a wasteful number, since it uses less digits than its factorization.

2942982504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2942982504 is about 54249.2627046672. The cubic root of 2942982504 is about 1433.0540144858.

The spelling of 2942982504 in words is "two billion, nine hundred forty-two million, nine hundred eighty-two thousand, five hundred four".