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2960048 = 2471319107
BaseRepresentation
bin1011010010101010110000
312120101102102
423102222300
51224210143
6143235532
734105610
oct13225260
95511372
102960048
111741a23
12ba8ba8
137c8410
14570a40
153d70b8
hex2d2ab0

2960048 has 80 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 1099008.

The previous prime is 2960047. The next prime is 2960071. The reversal of 2960048 is 8400692.

It is a self number, because there is not a number n which added to its sum of digits gives 2960048.

It is not an unprimeable number, because it can be changed into a prime (2960047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27611 + ... + 27717.

It is an arithmetic number, because the mean of its divisors is an integer number (93744).

22960048 is an apocalyptic number.

2960048 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 2960048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

2960048 is an abundant number, since it is smaller than the sum of its proper divisors (4539472).

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

2960048 is a wasteful number, since it uses less digits than its factorization.

2960048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 2960048 is about 1720.4790030686. The cubic root of 2960048 is about 143.5818631512.

Subtracting from 2960048 its product of nonzero digits (3456), we obtain a palindrome (2956592).

The spelling of 2960048 in words is "two million, nine hundred sixty thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 52 56 76 91 104 107 112 133 152 182 208 214 247 266 304 364 428 494 532 728 749 856 988 1064 1391 1456 1498 1712 1729 1976 2033 2128 2782 2996 3458 3952 4066 5564 5992 6916 8132 9737 11128 11984 13832 14231 16264 19474 22256 26429 27664 28462 32528 38948 52858 56924 77896 105716 113848 155792 185003 211432 227696 370006 422864 740012 1480024 2960048