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2286752 = 251323239
BaseRepresentation
bin1000101110010010100000
311022011211112
420232102200
51041134002
6121002452
725302626
oct10562240
94264745
102286752
111322086
12923428
13620b10
14437516
15302852
hex22e4a0

2286752 has 48 divisors (see below), whose sum is σ = 5080320. Its totient is φ = 1005312.

The previous prime is 2286749. The next prime is 2286763. The reversal of 2286752 is 2576822.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 22 + 24 + 84 + 67 + 75 + 59 + 215 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9449 + ... + 9687.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

22286752 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 2286752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540160).

2286752 is an abundant number, since it is smaller than the sum of its proper divisors (2793568).

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

2286752 is a wasteful number, since it uses less digits than its factorization.

2286752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 277 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 2286752 is about 1512.2010448350. The cubic root of 2286752 is about 131.7466828340.

The spelling of 2286752 in words is "two million, two hundred eighty-six thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 239 299 368 416 478 598 736 956 1196 1912 2392 3107 3824 4784 5497 6214 7648 9568 10994 12428 21988 24856 43976 49712 71461 87952 99424 142922 175904 285844 571688 1143376 2286752