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480141438 = 237171935393
BaseRepresentation
bin11100100111100…
…110000001111110
31020110110201020020
4130213212001332
51440404011223
6115351033010
714620064160
oct3447460176
91213421206
10480141438
11227033407
1211496b766
137862117a
1447aa6930
152c2441e3
hex1c9e607e

480141438 has 64 divisors (see below), whose sum is σ = 1223216640. Its totient is φ = 122314752.

The previous prime is 480141427. The next prime is 480141443. The reversal of 480141438 is 834141084.

It is a junction number, because it is equal to n+sod(n) for n = 480141399 and 480141408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4131 + ... + 31262.

It is an arithmetic number, because the mean of its divisors is an integer number (19112760).

Almost surely, 2480141438 is an apocalyptic number.

480141438 is an abundant number, since it is smaller than the sum of its proper divisors (743075202).

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

480141438 is a wasteful number, since it uses less digits than its factorization.

480141438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35441.

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 480141438 is about 21912.1299284209. The cubic root of 480141438 is about 783.0504249938.

The spelling of 480141438 in words is "four hundred eighty million, one hundred forty-one thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 14 17 19 21 34 38 42 51 57 102 114 119 133 238 266 323 357 399 646 714 798 969 1938 2261 4522 6783 13566 35393 70786 106179 212358 247751 495502 601681 672467 743253 1203362 1344934 1486506 1805043 2017401 3610086 4034802 4211767 4707269 8423534 9414538 11431939 12635301 14121807 22863878 25270602 28243614 34295817 68591634 80023573 160047146 240070719 480141438