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2793948 = 2232353191
BaseRepresentation
bin1010101010000111011100
312020221120120
422222013130
51203401243
6135514540
732514423
oct12520734
95227516
102793948
111639153
12b28a50
1376a931
1452a2ba
153a2c83
hex2aa1dc

2793948 has 48 divisors (see below), whose sum is σ = 6967296. Its totient is φ = 869440.

The previous prime is 2793943. The next prime is 2793949. The reversal of 2793948 is 8493972.

2793948 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×27939482 = 15612290853408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2793941) 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 15 ways as a sum of consecutive naturals, for example, 14533 + ... + 14723.

It is an arithmetic number, because the mean of its divisors is an integer number (145152).

22793948 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 2793948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483648).

2793948 is an abundant number, since it is smaller than the sum of its proper divisors (4173348).

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

2793948 is a wasteful number, since it uses less digits than its factorization.

2793948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 272 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 2793948 is about 1671.5106939532. The cubic root of 2793948 is about 140.8443531714.

It can be divided in two parts, 2793 and 948, that added together give a triangular number (3741 = T86).

The spelling of 2793948 in words is "two million, seven hundred ninety-three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 23 46 53 69 92 106 138 159 191 212 276 318 382 573 636 764 1146 1219 2292 2438 3657 4393 4876 7314 8786 10123 13179 14628 17572 20246 26358 30369 40492 52716 60738 121476 232829 465658 698487 931316 1396974 2793948