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2988896 = 252331131
BaseRepresentation
bin1011011001101101100000
312121211222212
423121231200
51231121041
6144021252
734255661
oct13315540
95554885
102988896
111761669
121001828
138085a1
1457b368
153e08eb
hex2d9b60

2988896 has 48 divisors (see below), whose sum is σ = 6386688. Its totient is φ = 1372800.

The previous prime is 2988877. The next prime is 2988899. The reversal of 2988896 is 6988892.

2988896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a house number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2988899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22751 + ... + 22881.

It is an arithmetic number, because the mean of its divisors is an integer number (133056).

22988896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2988896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193344).

2988896 is an abundant number, since it is smaller than the sum of its proper divisors (3397792).

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

2988896 is a wasteful number, since it uses less digits than its factorization.

2988896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 187 counting only the distinct ones).

The product of its digits is 497664, while the sum is 50.

The square root of 2988896 is about 1728.8423872638. The cubic root of 2988896 is about 144.0467954909.

The spelling of 2988896 in words is "two million, nine hundred eighty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 23 31 32 46 62 92 124 131 184 248 262 368 496 524 713 736 992 1048 1426 2096 2852 3013 4061 4192 5704 6026 8122 11408 12052 16244 22816 24104 32488 48208 64976 93403 96416 129952 186806 373612 747224 1494448 2988896