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2993796 = 2232136397
BaseRepresentation
bin1011011010111010000100
312122002201100
423122322010
51231300141
6144100100
734306161
oct13327204
95562640
102993796
111765313
121004630
1380a8a0
1457d068
153e20b6
hex2dae84

2993796 has 36 divisors (see below), whose sum is σ = 8151052. Its totient is φ = 921024.

The previous prime is 2993791. The next prime is 2993797. The reversal of 2993796 is 6973992.

2993796 = T313 + T314 + ... + T364.

2993796 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 171396 + 2822400 = 414^2 + 1680^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2993791) 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 11 ways as a sum of consecutive naturals, for example, 2731 + ... + 3666.

22993796 is an apocalyptic number.

2993796 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2993796 is an abundant number, since it is smaller than the sum of its proper divisors (5157256).

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

2993796 is a wasteful number, since it uses less digits than its factorization.

2993796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6420 (or 6415 counting only the distinct ones).

The product of its digits is 183708, while the sum is 45.

The square root of 2993796 is about 1730.2589401590. The cubic root of 2993796 is about 144.1254693486.

It can be divided in two parts, 299 and 3796, that added together give a triangular number (4095 = T90).

The spelling of 2993796 in words is "two million, nine hundred ninety-three thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 6397 12794 19191 25588 38382 57573 76764 83161 115146 166322 230292 249483 332644 498966 748449 997932 1496898 2993796