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496842480 = 24325690059
BaseRepresentation
bin11101100111010…
…011011011110000
31021121220012202100
4131213103123300
52004142424410
6121145020400
715212043231
oct3547233360
91247805670
10496842480
11235500122
1211a484700
137bc1ab44
1449db3088
152d9428c0
hex1d9d36f0

496842480 has 60 divisors (see below), whose sum is σ = 1668565080. Its totient is φ = 132491136.

The previous prime is 496842461. The next prime is 496842497. The reversal of 496842480 is 84248694.

496842480 is a `hidden beast` number, since 4 + 96 + 84 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 344310 + ... + 345749.

It is an arithmetic number, because the mean of its divisors is an integer number (27809418).

Almost surely, 2496842480 is an apocalyptic number.

496842480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

496842480 is an abundant number, since it is smaller than the sum of its proper divisors (1171722600).

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

496842480 is a wasteful number, since it uses less digits than its factorization.

496842480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690078 (or 690069 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 496842480 is about 22289.9636608048. The cubic root of 496842480 is about 792.0262464519.

The spelling of 496842480 in words is "four hundred ninety-six million, eight hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 690059 1380118 2070177 2760236 3450295 4140354 5520472 6210531 6900590 8280708 10350885 11040944 12421062 13801180 16561416 20701770 24842124 27602360 31052655 33122832 41403540 49684248 55204720 62105310 82807080 99368496 124210620 165614160 248421240 496842480