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2948480 = 27517271
BaseRepresentation
bin1011001111110110000000
312112210112222
423033312000
51223322410
6143110212
734030103
oct13176600
95483488
102948480
111734267
12ba2368
137c3082
1456a73a
153d3955
hex2cfd80

2948480 has 64 divisors (see below), whose sum is σ = 7490880. Its totient is φ = 1105920.

The previous prime is 2948479. The next prime is 2948483. The reversal of 2948480 is 848492.

2948480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2948480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2948483) 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, 10745 + ... + 11015.

It is an arithmetic number, because the mean of its divisors is an integer number (117045).

22948480 is an apocalyptic number.

2948480 is a gapful number since it is divisible by the number (20) 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 2948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745440).

2948480 is an abundant number, since it is smaller than the sum of its proper divisors (4542400).

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

2948480 is a wasteful number, since it uses less digits than its factorization.

2948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 2948480 is about 1717.1138576111. The cubic root of 2948480 is about 143.3945775172.

The spelling of 2948480 in words is "two million, nine hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 271 272 320 340 542 544 640 680 1084 1088 1355 1360 2168 2176 2710 2720 4336 4607 5420 5440 8672 9214 10840 10880 17344 18428 21680 23035 34688 36856 43360 46070 73712 86720 92140 147424 173440 184280 294848 368560 589696 737120 1474240 2948480