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2049696 = 253211647
BaseRepresentation
bin111110100011010100000
310212010122200
413310122200
51011042241
6111533200
723264535
oct7643240
93763580
102049696
11117aa70
1282a200
13569c4c
143b4d8c
152a74b6
hex1f46a0

2049696 has 72 divisors (see below), whose sum is σ = 6368544. Its totient is φ = 620160.

The previous prime is 2049679. The next prime is 2049703. The reversal of 2049696 is 6969402.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2049696.

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, 2845 + ... + 3491.

It is an arithmetic number, because the mean of its divisors is an integer number (88452).

22049696 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 2049696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3184272).

2049696 is an abundant number, since it is smaller than the sum of its proper divisors (4318848).

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

2049696 is a wasteful number, since it uses less digits than its factorization.

2049696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2049696 is about 1431.6759409866. The cubic root of 2049696 is about 127.0271295918.

The spelling of 2049696 in words is "two million, forty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 647 792 1056 1294 1584 1941 2588 3168 3882 5176 5823 7117 7764 10352 11646 14234 15528 20704 21351 23292 28468 31056 42702 46584 56936 62112 64053 85404 93168 113872 128106 170808 186336 227744 256212 341616 512424 683232 1024848 2049696