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491849496 = 23355032
BaseRepresentation
bin11101010100010…
…000011100011000
31021021111112200000
4131110100130120
52001403140441
6120450013000
715121436355
oct3524203430
91237445600
10491849496
112326aa896
12118877160
137ab90308
144947362c
152d2a82b6
hex1d510718

491849496 has 72 divisors (see below), whose sum is σ = 1384180980. Its totient is φ = 163623888.

The previous prime is 491849471. The next prime is 491849507. The reversal of 491849496 is 694948194.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 977581 + ... + 978083.

Almost surely, 2491849496 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 491849496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692090490).

491849496 is an abundant number, since it is smaller than the sum of its proper divisors (892331484).

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

491849496 is an frugal number, since it uses more digits than its factorization.

491849496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 508 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 491849496 is about 22177.6801311589. The cubic root of 491849496 is about 789.3641714032.

Multiplying 491849496 by its sum of digits (54), we get a square (26559872784 = 1629722).

491849496 divided by its sum of digits (54) gives a square (9108324 = 30182).

The spelling of 491849496 in words is "four hundred ninety-one million, eight hundred forty-nine thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 503 648 972 1006 1509 1944 2012 3018 4024 4527 6036 9054 12072 13581 18108 27162 36216 40743 54324 81486 108648 122229 162972 244458 253009 325944 488916 506018 759027 977832 1012036 1518054 2024072 2277081 3036108 4554162 6072216 6831243 9108324 13662486 18216648 20493729 27324972 40987458 54649944 61481187 81974916 122962374 163949832 245924748 491849496