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491832 = 23351123
BaseRepresentation
bin1111000000100111000
3220222200000
41320010320
5111214312
614313000
74115625
oct1700470
9828600
10491832
11306580
121b8760
13142b33
14cb34c
159aadc
hex78138

491832 has 96 divisors (see below), whose sum is σ = 1572480. Its totient is φ = 142560.

The previous prime is 491819. The next prime is 491833. The reversal of 491832 is 238194.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a junction number, because it is equal to n+sod(n) for n = 491796 and 491805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21373 + ... + 21395.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2491832 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 491832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786240).

491832 is an abundant number, since it is smaller than the sum of its proper divisors (1080648).

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

491832 is a wasteful number, since it uses less digits than its factorization.

491832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 39 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 491832 is about 701.3073505960. The cubic root of 491832 is about 78.9354811576.

It can be divided in two parts, 4918 and 32, that added together give a triangular number (4950 = T99).

The spelling of 491832 in words is "four hundred ninety-one thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 27 33 36 44 46 54 66 69 72 81 88 92 99 108 132 138 162 184 198 207 216 243 253 264 276 297 324 396 414 486 506 552 594 621 648 759 792 828 891 972 1012 1188 1242 1518 1656 1782 1863 1944 2024 2277 2376 2484 2673 3036 3564 3726 4554 4968 5346 5589 6072 6831 7128 7452 9108 10692 11178 13662 14904 18216 20493 21384 22356 27324 40986 44712 54648 61479 81972 122958 163944 245916 491832