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2833283904 = 2631111171201
BaseRepresentation
bin1010100011100000…
…0111101101000000
321022110022201211220
42220320013231000
521300310041104
61145051035040
7130132341633
oct25070075500
97273281756
102833283904
111224351150
12670a3ba80
13361cb1b69
141cc409c1a
15118b117d9
hexa8e07b40

2833283904 has 112 divisors (see below), whose sum is σ = 8192024256. Its totient is φ = 857088000.

The previous prime is 2833283881. The next prime is 2833283927. The reversal of 2833283904 is 4093823382.

It is an interprime number because it is at equal distance from previous prime (2833283881) and next prime (2833283927).

It is a congruent number.

It is an unprimeable number.

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, 2358504 + ... + 2359704.

Almost surely, 22833283904 is an apocalyptic number.

2833283904 is a gapful number since it is divisible by the number (24) 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 2833283904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096012128).

2833283904 is an abundant number, since it is smaller than the sum of its proper divisors (5358740352).

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

2833283904 is a wasteful number, since it uses less digits than its factorization.

2833283904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 2833283904 is about 53228.6004324743. The cubic root of 2833283904 is about 1415.0225627055.

The spelling of 2833283904 in words is "two billion, eight hundred thirty-three million, two hundred eighty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 1117 1201 2112 2234 2402 3351 3603 4468 4804 6702 7206 8936 9608 12287 13211 13404 14412 17872 19216 24574 26422 26808 28824 35744 36861 38432 39633 49148 52844 53616 57648 71488 73722 76864 79266 98296 105688 107232 115296 147444 158532 196592 211376 214464 230592 294888 317064 393184 422752 589776 634128 786368 845504 1179552 1268256 1341517 2359104 2536512 2683034 4024551 5366068 8049102 10732136 14756687 16098204 21464272 29513374 32196408 42928544 44270061 59026748 64392816 85857088 88540122 118053496 128785632 177080244 236106992 257571264 354160488 472213984 708320976 944427968 1416641952 2833283904