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2879052 = 22311171283
BaseRepresentation
bin1010111110111001001100
312102021022120
422332321030
51214112202
6141412540
733320511
oct12767114
95367276
102879052
111697090
12b6a150
1379a5a7
1454d308
153bd0bc
hex2bee4c

2879052 has 48 divisors (see below), whose sum is σ = 7765632. Its totient is φ = 820480.

The previous prime is 2879039. The next prime is 2879053. The reversal of 2879052 is 2509782.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2879053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1603 + ... + 2885.

It is an arithmetic number, because the mean of its divisors is an integer number (161784).

22879052 is an apocalyptic number.

2879052 is a gapful number since it is divisible by the number (22) 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 2879052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3882816).

2879052 is an abundant number, since it is smaller than the sum of its proper divisors (4886580).

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

2879052 is a wasteful number, since it uses less digits than its factorization.

2879052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 2879052 is about 1696.7769446807. The cubic root of 2879052 is about 142.2601196569.

It can be divided in two parts, 287 and 9052, that added together give a palindrome (9339).

The spelling of 2879052 in words is "two million, eight hundred seventy-nine thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 1283 2244 2566 3849 5132 7698 14113 15396 21811 28226 42339 43622 56452 65433 84678 87244 130866 169356 239921 261732 479842 719763 959684 1439526 2879052