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492096 = 26311233
BaseRepresentation
bin1111000001001000000
3221000000210
41320021000
5111221341
614314120
74116453
oct1701100
9830023
10492096
113067a0
121b8940
13142ca7
14cb49a
159ac16
hex78240

492096 has 56 divisors (see below), whose sum is σ = 1426464. Its totient is φ = 148480.

The previous prime is 492083. The next prime is 492103. The reversal of 492096 is 690294.

It is a congruent number.

It is an unprimeable number.

492096 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1996 + ... + 2228.

2492096 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 492096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713232).

492096 is an abundant number, since it is smaller than the sum of its proper divisors (934368).

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

492096 is a wasteful number, since it uses less digits than its factorization.

492096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 492096 is about 701.4955452460. The cubic root of 492096 is about 78.9496019953.

It can be divided in two parts, 49 and 2096, that added together give a triangular number (2145 = T65).

The spelling of 492096 in words is "four hundred ninety-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 233 264 352 466 528 699 704 932 1056 1398 1864 2112 2563 2796 3728 5126 5592 7456 7689 10252 11184 14912 15378 20504 22368 30756 41008 44736 61512 82016 123024 164032 246048 492096