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2880976 = 24729887
BaseRepresentation
bin1010111111010111010000
312102100221211
422333113100
51214142401
6141425504
733326230
oct12772720
95370854
102880976
11169857a
12b6b294
1379b427
1454dcc0
153bd951
hex2bf5d0

2880976 has 40 divisors (see below), whose sum is σ = 6606720. Its totient is φ = 1190784.

The previous prime is 2880949. The next prime is 2880991. The reversal of 2880976 is 6790882.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2805 + ... + 3691.

It is an arithmetic number, because the mean of its divisors is an integer number (165168).

22880976 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 2880976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303360).

2880976 is an abundant number, since it is smaller than the sum of its proper divisors (3725744).

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

2880976 is a wasteful number, since it uses less digits than its factorization.

2880976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 2880976 is about 1697.3438072471. The cubic root of 2880976 is about 142.2918022527.

The spelling of 2880976 in words is "two million, eight hundred eighty thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 887 1624 1774 3248 3548 6209 7096 12418 14192 24836 25723 49672 51446 99344 102892 180061 205784 360122 411568 720244 1440488 2880976