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2946996492 = 2231128179451
BaseRepresentation
bin1010111110100111…
…1001100100001100
321121101021221012020
42233221321210030
522013412341432
61204232210140
7133013025336
oct25751714414
97541257166
102946996492
1112825590a0
126a2b39950
1337c71700b
141dd56a456
15123ac422c
hexafa7990c

2946996492 has 48 divisors (see below), whose sum is σ = 7528235904. Its totient is φ = 889840000.

The previous prime is 2946996467. The next prime is 2946996497.

2946996492 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2946996497) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2634 + ... + 76817.

It is an arithmetic number, because the mean of its divisors is an integer number (156838248).

Almost surely, 22946996492 is an apocalyptic number.

2946996492 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 2946996492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764117952).

2946996492 is an abundant number, since it is smaller than the sum of its proper divisors (4581239412).

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

2946996492 is a wasteful number, since it uses less digits than its factorization.

2946996492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79750 (or 79748 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 60.

The square root of 2946996492 is about 54286.2458823596. The cubic root of 2946996492 is about 1433.7052414168.

The spelling of 2946996492 in words is "two billion, nine hundred forty-six million, nine hundred ninety-six thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 281 562 843 1124 1686 3091 3372 6182 9273 12364 18546 37092 79451 158902 238353 317804 476706 873961 953412 1747922 2621883 3495844 5243766 10487532 22325731 44651462 66977193 89302924 133954386 245583041 267908772 491166082 736749123 982332164 1473498246 2946996492