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2948778492 = 22311193743739
BaseRepresentation
bin1010111111000010…
…1100100111111100
321121111122110122020
42233300230213330
522014341402432
61204334320140
7133034126562
oct25760544774
97544573566
102948778492
111283565a20
126a3659050
1337cbbc15a
141dd8b1a32
15123d2722c
hexafc2c9fc

2948778492 has 192 divisors, whose sum is σ = 8314521600. Its totient is φ = 803416320.

The previous prime is 2948778487. The next prime is 2948778499.

2948778492 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 (2948778499) 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 63 ways as a sum of consecutive naturals, for example, 3989859 + ... + 3990597.

It is an arithmetic number, because the mean of its divisors is an integer number (43304800).

Almost surely, 22948778492 is an apocalyptic number.

2948778492 is a gapful number since it is divisible by the number (22) 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 2948778492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4157260800).

2948778492 is an abundant number, since it is smaller than the sum of its proper divisors (5365743108).

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

2948778492 is a wasteful number, since it uses less digits than its factorization.

2948778492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 854 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 60.

The square root of 2948778492 is about 54302.6563991118. The cubic root of 2948778492 is about 1433.9941624656.

The spelling of 2948778492 in words is "two billion, nine hundred forty-eight million, seven hundred seventy-eight thousand, four hundred ninety-two".