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2980488 = 2337113157
BaseRepresentation
bin1011010111101010001000
312121102110110
423113222020
51230333423
6143514320
734222320
oct13275210
95542413
102980488
111756315
12bb89a0
13804804
14578280
153dd193
hex2d7a88

2980488 has 64 divisors (see below), whose sum is σ = 8645760. Its totient is φ = 838656.

The previous prime is 2980487. The next prime is 2980489. The reversal of 2980488 is 8840892.

It is a happy number.

2980488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2980487) and next prime (2980489).

It is not an unprimeable number, because it can be changed into a prime (2980487) 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 15 ways as a sum of consecutive naturals, for example, 18906 + ... + 19062.

It is an arithmetic number, because the mean of its divisors is an integer number (135090).

22980488 is an apocalyptic number.

2980488 is a gapful number since it is divisible by the number (28) 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 2980488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4322880).

2980488 is an abundant number, since it is smaller than the sum of its proper divisors (5665272).

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

2980488 is a wasteful number, since it uses less digits than its factorization.

2980488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 2980488 is about 1726.4089897820. The cubic root of 2980488 is about 143.9115969742.

It can be divided in two parts, 29804 and 88, that added together give a palindrome (29892).

The spelling of 2980488 in words is "two million, nine hundred eighty thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 113 157 168 226 314 339 452 471 628 678 791 904 942 1099 1256 1356 1582 1884 2198 2373 2712 3164 3297 3768 4396 4746 6328 6594 8792 9492 13188 17741 18984 26376 35482 53223 70964 106446 124187 141928 212892 248374 372561 425784 496748 745122 993496 1490244 2980488