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478245978 = 23372612963
BaseRepresentation
bin11100100000010…
…111010001011010
31020022220102011000
4130200113101122
51434412332403
6115242245430
714565011100
oct3440272132
91208812130
10478245978
11225a59311
121141b6876
13781094b2
1447731c70
152bebc7a3
hex1c81745a

478245978 has 96 divisors (see below), whose sum is σ = 1256973120. Its totient is φ = 134356320.

The previous prime is 478245973. The next prime is 478245991. The reversal of 478245978 is 879542874.

It is a happy number.

478245978 is a `hidden beast` number, since 47 + 8 + 2 + 4 + 597 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (478245973) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 159925 + ... + 162887.

It is an arithmetic number, because the mean of its divisors is an integer number (13093470).

Almost surely, 2478245978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478245978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628486560).

478245978 is an abundant number, since it is smaller than the sum of its proper divisors (778727142).

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

478245978 is a wasteful number, since it uses less digits than its factorization.

478245978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3049 (or 3036 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 478245978 is about 21868.8357714808. The cubic root of 478245978 is about 782.0186469565.

The spelling of 478245978 in words is "four hundred seventy-eight million, two hundred forty-five thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 61 63 98 122 126 147 183 189 294 366 378 427 441 549 854 882 1098 1281 1323 1647 2562 2646 2963 2989 3294 3843 5926 5978 7686 8889 8967 11529 17778 17934 20741 23058 26667 26901 41482 53334 53802 62223 80001 80703 124446 145187 160002 161406 180743 186669 290374 361486 373338 435561 542229 560007 871122 1084458 1120014 1265201 1306683 1626687 2530402 2613366 3253374 3795603 3920049 4880061 7591206 7840098 8856407 9760122 11386809 17712814 22773618 26569221 34160427 53138442 68320854 79707663 159415326 239122989 478245978