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2893352 = 237211261
BaseRepresentation
bin1011000010011000101000
312102222221012
423002120220
51220041402
6142003052
733410300
oct13023050
95388835
102893352
1116a6900
12b76488
137a3c57
14554600
153c2452
hex2c2628

2893352 has 72 divisors (see below), whose sum is σ = 7050330. Its totient is φ = 1108800.

The previous prime is 2893351. The next prime is 2893357. The reversal of 2893352 is 2533982.

2893352 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in only one way, i.e., 2869636 + 23716 = 1694^2 + 154^2 .

Its product of digits (12960) is a multiple of the sum of its prime divisors (81).

It is not an unprimeable number, because it can be changed into a prime (2893351) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47402 + ... + 47462.

22893352 is an apocalyptic number.

2893352 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 2893352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525165).

2893352 is an abundant number, since it is smaller than the sum of its proper divisors (4156978).

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

2893352 is a wasteful number, since it uses less digits than its factorization.

2893352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 81 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The square root of 2893352 is about 1700.9855966468. The cubic root of 2893352 is about 142.4952619744.

The spelling of 2893352 in words is "two million, eight hundred ninety-three thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 61 77 88 98 121 122 154 196 242 244 308 392 427 484 488 539 616 671 847 854 968 1078 1342 1694 1708 2156 2684 2989 3388 3416 4312 4697 5368 5929 5978 6776 7381 9394 11858 11956 14762 18788 23716 23912 29524 32879 37576 47432 51667 59048 65758 103334 131516 206668 263032 361669 413336 723338 1446676 2893352