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2683408 = 247131997
BaseRepresentation
bin1010001111001000010000
312001022221111
422033020100
51141332113
6133303104
731544230
oct12171020
95038844
102683408
1115730a2
12a94a94
1372c520
144dbcc0
1538013d
hex28f210

2683408 has 80 divisors (see below), whose sum is σ = 6805120. Its totient is φ = 995328.

The previous prime is 2683397. The next prime is 2683423. The reversal of 2683408 is 8043862.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2683408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27616 + ... + 27712.

It is an arithmetic number, because the mean of its divisors is an integer number (85064).

22683408 is an apocalyptic number.

2683408 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 2683408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402560).

2683408 is an abundant number, since it is smaller than the sum of its proper divisors (4121712).

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

2683408 is a wasteful number, since it uses less digits than its factorization.

2683408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 2683408 is about 1638.1111073428. Note that the first 4 decimals coincide. The cubic root of 2683408 is about 138.9618445037.

The spelling of 2683408 in words is "two million, six hundred eighty-three thousand, four hundred eight".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 52 56 76 91 97 104 112 133 152 182 194 208 247 266 304 364 388 494 532 679 728 776 988 1064 1261 1358 1456 1552 1729 1843 1976 2128 2522 2716 3458 3686 3952 5044 5432 6916 7372 8827 10088 10864 12901 13832 14744 17654 20176 23959 25802 27664 29488 35308 47918 51604 70616 95836 103208 141232 167713 191672 206416 335426 383344 670852 1341704 2683408