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2904096 = 253132179
BaseRepresentation
bin1011000101000000100000
312110112200010
423011000200
51220412341
6142124520
733453516
oct13050040
95415603
102904096
111703988
12b80740
137a8b00
145584b6
153c5716
hex2c5020

2904096 has 72 divisors (see below), whose sum is σ = 8300880. Its totient is φ = 888576.

The previous prime is 2904073. The next prime is 2904103. The reversal of 2904096 is 6904092.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16135 + ... + 16313.

It is an arithmetic number, because the mean of its divisors is an integer number (115290).

22904096 is an apocalyptic number.

2904096 is a gapful number since it is divisible by the number (26) 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 2904096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4150440).

2904096 is an abundant number, since it is smaller than the sum of its proper divisors (5396784).

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

2904096 is a wasteful number, since it uses less digits than its factorization.

2904096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 2904096 is about 1704.1408392501. The cubic root of 2904096 is about 142.6714218968.

The spelling of 2904096 in words is "two million, nine hundred four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 179 208 312 338 358 416 507 537 624 676 716 1014 1074 1248 1352 1432 2028 2148 2327 2704 2864 4056 4296 4654 5408 5728 6981 8112 8592 9308 13962 16224 17184 18616 27924 30251 37232 55848 60502 74464 90753 111696 121004 181506 223392 242008 363012 484016 726024 968032 1452048 2904096