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2896992 = 25337479
BaseRepresentation
bin1011000011010001100000
312110011221000
423003101200
51220200432
6142032000
733424020
oct13032140
95404830
102896992
1116a960a
12b78600
137a57c7
14555a80
153c357c
hex2c3460

2896992 has 96 divisors (see below), whose sum is σ = 9676800. Its totient is φ = 825984.

The previous prime is 2896979. The next prime is 2897003. The reversal of 2896992 is 2996982.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 5809 + ... + 6287.

It is an arithmetic number, because the mean of its divisors is an integer number (100800).

22896992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2896992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838400).

2896992 is an abundant number, since it is smaller than the sum of its proper divisors (6779808).

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

2896992 is a wasteful number, since it uses less digits than its factorization.

2896992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 491 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 2896992 is about 1702.0552282461. The cubic root of 2896992 is about 142.5549926253.

It can be divided in two parts, 28 and 96992, that added together give a triangular number (97020 = T440).

The spelling of 2896992 in words is "two million, eight hundred ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 479 504 672 756 864 958 1008 1437 1512 1916 2016 2874 3024 3353 3832 4311 5748 6048 6706 7664 8622 10059 11496 12933 13412 15328 17244 20118 22992 25866 26824 30177 34488 40236 45984 51732 53648 60354 68976 80472 90531 103464 107296 120708 137952 160944 181062 206928 241416 321888 362124 413856 482832 724248 965664 1448496 2896992